7+3z-2=8z+14-2z

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Solution for 7+3z-2=8z+14-2z equation:


Simplifying
7 + 3z + -2 = 8z + 14 + -2z

Reorder the terms:
7 + -2 + 3z = 8z + 14 + -2z

Combine like terms: 7 + -2 = 5
5 + 3z = 8z + 14 + -2z

Reorder the terms:
5 + 3z = 14 + 8z + -2z

Combine like terms: 8z + -2z = 6z
5 + 3z = 14 + 6z

Solving
5 + 3z = 14 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
5 + 3z + -6z = 14 + 6z + -6z

Combine like terms: 3z + -6z = -3z
5 + -3z = 14 + 6z + -6z

Combine like terms: 6z + -6z = 0
5 + -3z = 14 + 0
5 + -3z = 14

Add '-5' to each side of the equation.
5 + -5 + -3z = 14 + -5

Combine like terms: 5 + -5 = 0
0 + -3z = 14 + -5
-3z = 14 + -5

Combine like terms: 14 + -5 = 9
-3z = 9

Divide each side by '-3'.
z = -3

Simplifying
z = -3

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