2z+8=7z-44

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Solution for 2z+8=7z-44 equation:


Simplifying
2z + 8 = 7z + -44

Reorder the terms:
8 + 2z = 7z + -44

Reorder the terms:
8 + 2z = -44 + 7z

Solving
8 + 2z = -44 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
8 + 2z + -7z = -44 + 7z + -7z

Combine like terms: 2z + -7z = -5z
8 + -5z = -44 + 7z + -7z

Combine like terms: 7z + -7z = 0
8 + -5z = -44 + 0
8 + -5z = -44

Add '-8' to each side of the equation.
8 + -8 + -5z = -44 + -8

Combine like terms: 8 + -8 = 0
0 + -5z = -44 + -8
-5z = -44 + -8

Combine like terms: -44 + -8 = -52
-5z = -52

Divide each side by '-5'.
z = 10.4

Simplifying
z = 10.4

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