7z+2=8z-5

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Solution for 7z+2=8z-5 equation:


Simplifying
7z + 2 = 8z + -5

Reorder the terms:
2 + 7z = 8z + -5

Reorder the terms:
2 + 7z = -5 + 8z

Solving
2 + 7z = -5 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
2 + 7z + -8z = -5 + 8z + -8z

Combine like terms: 7z + -8z = -1z
2 + -1z = -5 + 8z + -8z

Combine like terms: 8z + -8z = 0
2 + -1z = -5 + 0
2 + -1z = -5

Add '-2' to each side of the equation.
2 + -2 + -1z = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -1z = -5 + -2
-1z = -5 + -2

Combine like terms: -5 + -2 = -7
-1z = -7

Divide each side by '-1'.
z = 7

Simplifying
z = 7

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