9+2z-8=7z+7-4z

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Solution for 9+2z-8=7z+7-4z equation:


Simplifying
9 + 2z + -8 = 7z + 7 + -4z

Reorder the terms:
9 + -8 + 2z = 7z + 7 + -4z

Combine like terms: 9 + -8 = 1
1 + 2z = 7z + 7 + -4z

Reorder the terms:
1 + 2z = 7 + 7z + -4z

Combine like terms: 7z + -4z = 3z
1 + 2z = 7 + 3z

Solving
1 + 2z = 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.
1 + 2z + -3z = 7 + 3z + -3z

Combine like terms: 2z + -3z = -1z
1 + -1z = 7 + 3z + -3z

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

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

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

Combine like terms: 7 + -1 = 6
-1z = 6

Divide each side by '-1'.
z = -6

Simplifying
z = -6

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