Question

what is the solution to -(6m+8) =4(17 - m)

Answer 1

Answer:

m=-38

Step-by-step explanation:

-(6m+8)=4(17-m)

We move all terms to the left:

-(6m+8)-(4(17-m))=0

We add all the numbers together, and all the variables

-(6m+8)-(4(-1m+17))=0

We get rid of parentheses

-6m-(4(-1m+17))-8=0

We calculate terms in parentheses: -(4(-1m+17)), so:

4(-1m+17)

We multiply parentheses

-4m+68

Back to the equation:

-(-4m+68)

We get rid of parentheses

-6m+4m-68-8=0

We add all the numbers together, and all the variables

-2m-76=0

We move all terms containing m to the left, all other terms to the right

-2m=76

m=76/-2

m=-38

Answer 2

The solution to the given equation is $-38$

• We are given  -(6m+8) =4(17 - m)

• Open the bracket in both side by multiplying (-) to the terms at left hand and 4 to the terms at right hand

$-6m - 8 = 68 - 4m$

• Select like terms

$-6m + 4m = 68+8$

• Simplifying,

$-2m = 76$

$m= \frac{-76}{2}$

$= -38$

Therefore, the value of m is$-38$

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