7-(2z-9)=8-3z

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Solution for 7-(2z-9)=8-3z equation:


Simplifying
7 + -1(2z + -9) = 8 + -3z

Reorder the terms:
7 + -1(-9 + 2z) = 8 + -3z
7 + (-9 * -1 + 2z * -1) = 8 + -3z
7 + (9 + -2z) = 8 + -3z

Combine like terms: 7 + 9 = 16
16 + -2z = 8 + -3z

Solving
16 + -2z = 8 + -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.
16 + -2z + 3z = 8 + -3z + 3z

Combine like terms: -2z + 3z = 1z
16 + 1z = 8 + -3z + 3z

Combine like terms: -3z + 3z = 0
16 + 1z = 8 + 0
16 + 1z = 8

Add '-16' to each side of the equation.
16 + -16 + 1z = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 1z = 8 + -16
1z = 8 + -16

Combine like terms: 8 + -16 = -8
1z = -8

Divide each side by '1'.
z = -8

Simplifying
z = -8

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