Answer: [tex]z = \frac{4.7}{6.5}[/tex]
Step-by-step explanation:
original equation: 3.1 + 6.8z - 2.4 = 0.3z - 4
Start by adding simplifying like terms on each side (terms with no variables, and the terms with variables, in this case: z)
3.1 - 2.4 = 0.7
0.7 + 6.8z = 0.3z - 4
Then begin to transfer segments from one side to the other so you can isolate the terms with no variables and variables. To move them to the other side, you will need to use the opposite value (positive/negative) of what they are right now.
0.7 + 6.8z = 0.3z - 4
-0.7 -0.7
6.8z = 0.3z - 4.7
-0.3z -0.3z
6.5z = 4.7
When you are this far into the equation, you will want to divide both sides by whatever your variable (z) is being multiplied by (6.5)
[tex]z = \frac{4.7}{6.5}[/tex]
