7z+7=3z-7

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


Simplifying
7z + 7 = 3z + -7

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

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

Solving
7 + 7z = -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.
7 + 7z + -3z = -7 + 3z + -3z

Combine like terms: 7z + -3z = 4z
7 + 4z = -7 + 3z + -3z

Combine like terms: 3z + -3z = 0
7 + 4z = -7 + 0
7 + 4z = -7

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

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

Combine like terms: -7 + -7 = -14
4z = -14

Divide each side by '4'.
z = -3.5

Simplifying
z = -3.5

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