Question

solve the equation

-2 (m-30) = -6m

Answer 1

Answer:

m = - 15

Step-by-step explanation:

Question:-

• To find the value of m

Given Equation:-

• -2 (m - 30) = - 6m

Solution:-

=> - 2(m - 30) = - 6m

• [On distribution]

=> - 2 × m - 2 × (- 30) = - 6m

• [On Simplification]

=> - 2m + 60 = -6m

• [On shifting like terms to one side]

=> 6m - 2m = - 60

• [On Simplification]

=> 4m = - 60

• [On dividing both sides with 4]

$= > \frac{4m}{4} = \frac{ - 60}{4}$

• [On Simplification]

=> m = - 15 (Ans)

Answer 2

$\bf \: \huge \: Question:$

$\sf -2 (m-30) = -6m$

$\bf \huge\: Solution:$

We need to solve the equation.

$\underline{ \bf \: Simplify \: both \: sides \: of \: this \: equation}$

$\sf \longmapsto \: - 2 (m - 30) = \: - 6m$

$\boxed{\bf \: Distribute : }$

$\sf \longmapsto \: ( - 2)(m)+( - 2)( - 30)= - 6m$

$\underline{ \bf \: On \: Simplifying \: the \: equation:}$

$\sf \longmapsto \: - 2m+60= -6m$

$\boxed{ \bf \: Add \: 6m \: to \: both \: sides:}$

$\sf \longmapsto - 2m+60+6m=\: - 6m+6m$

$\underline{ \bf \: \bf \: On \: Simplifying \: the \: equation:}$

$\sf \longmapsto \: 4m+60= - 6m+6m$

$\sf \longmapsto \: 4m+60=0$

$\boxed{\bf \: Subtract \: 60 \: from \: both \: sides:}$

$\sf \longmapsto 4m+60 - 60=0 - 60$

$\underline{\bf \: On \: Simplifying \: the \: equation:}$

$\sf \longmapsto 4m=0 - 60$

$\sf \longmapsto \: 4m = \: - 60$

$\boxed{\bf \: Divide \: both \: sides \: by \: 4:}$

$\sf \longmapsto \: \dfrac{4m}{4} = \dfrac{ - 60}{4}$

$\boxed{ \bf \: Cross-multiply:}$

$\sf \longmapsto \: m = - 15$

______________________________________

$\boxed{\bf Solving\: on \: another\: way:}$

$\sf \longmapsto - 2m + 60 = - 6m$

$\sf \longmapsto - 2m + 6m = - 60$

$\sf \longmapsto + 4m = - 60$

$\sf \longmapsto m = \dfrac{ - 60}{4}$

$\sf \longmapsto m = \cancel{ \dfrac{ - 60}{4}}$

$\sf \longmapsto m = - 15$

________________________________

$\underline{\bf \: Henceforth,the \: answer \: is:}$

$\boxed{\huge \red{m = - 15}}$