4z-8=5z-7

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Solution for 4z-8=5z-7 equation:


Simplifying
4z + -8 = 5z + -7

Reorder the terms:
-8 + 4z = 5z + -7

Reorder the terms:
-8 + 4z = -7 + 5z

Solving
-8 + 4z = -7 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-8 + 4z + -5z = -7 + 5z + -5z

Combine like terms: 4z + -5z = -1z
-8 + -1z = -7 + 5z + -5z

Combine like terms: 5z + -5z = 0
-8 + -1z = -7 + 0
-8 + -1z = -7

Add '8' to each side of the equation.
-8 + 8 + -1z = -7 + 8

Combine like terms: -8 + 8 = 0
0 + -1z = -7 + 8
-1z = -7 + 8

Combine like terms: -7 + 8 = 1
-1z = 1

Divide each side by '-1'.
z = -1

Simplifying
z = -1

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