3z-7=5z+7

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Solution for 3z-7=5z+7 equation:


Simplifying
3z + -7 = 5z + 7

Reorder the terms:
-7 + 3z = 5z + 7

Reorder the terms:
-7 + 3z = 7 + 5z

Solving
-7 + 3z = 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.
-7 + 3z + -5z = 7 + 5z + -5z

Combine like terms: 3z + -5z = -2z
-7 + -2z = 7 + 5z + -5z

Combine like terms: 5z + -5z = 0
-7 + -2z = 7 + 0
-7 + -2z = 7

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

Combine like terms: -7 + 7 = 0
0 + -2z = 7 + 7
-2z = 7 + 7

Combine like terms: 7 + 7 = 14
-2z = 14

Divide each side by '-2'.
z = -7

Simplifying
z = -7

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