6z+7-2z=2+3z-9

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Solution for 6z+7-2z=2+3z-9 equation: 


Simplifying
6z + 7 + -2z = 2 + 3z + -9

Reorder the terms:
7 + 6z + -2z = 2 + 3z + -9

Combine like terms: 6z + -2z = 4z
7 + 4z = 2 + 3z + -9

Reorder the terms:
7 + 4z = 2 + -9 + 3z

Combine like terms: 2 + -9 = -7
7 + 4z = -7 + 3z

Solving
7 + 4z = -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 + 4z + -3z = -7 + 3z + -3z

Combine like terms: 4z + -3z = 1z
7 + 1z = -7 + 3z + -3z

Combine like terms: 3z + -3z = 0
7 + 1z = -7 + 0
7 + 1z = -7

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

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

Combine like terms: -7 + -7 = -14
1z = -14

Divide each side by '1'.
z = -14

Simplifying
z = -14

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