4z+4=5z-7

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


Simplifying
4z + 4 = 5z + -7

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

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

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

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

Combine like terms: 5z + -5z = 0
4 + -1z = -7 + 0
4 + -1z = -7

Add '-4' to each side of the equation.
4 + -4 + -1z = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -1z = -7 + -4
-1z = -7 + -4

Combine like terms: -7 + -4 = -11
-1z = -11

Divide each side by '-1'.
z = 11

Simplifying
z = 11

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