2z-8=-3z+7

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Solution for 2z-8=-3z+7 equation:


Simplifying
2z + -8 = -3z + 7

Reorder the terms:
-8 + 2z = -3z + 7

Reorder the terms:
-8 + 2z = 7 + -3z

Solving
-8 + 2z = 7 + -3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '3z' to each side of the equation.
-8 + 2z + 3z = 7 + -3z + 3z

Combine like terms: 2z + 3z = 5z
-8 + 5z = 7 + -3z + 3z

Combine like terms: -3z + 3z = 0
-8 + 5z = 7 + 0
-8 + 5z = 7

Add '8' to each side of the equation.
-8 + 8 + 5z = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5z = 7 + 8
5z = 7 + 8

Combine like terms: 7 + 8 = 15
5z = 15

Divide each side by '5'.
z = 3

Simplifying
z = 3

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