4z+9-z=2z-3

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Solution for 4z+9-z=2z-3 equation:


Simplifying
4z + 9 + -1z = 2z + -3

Reorder the terms:
9 + 4z + -1z = 2z + -3

Combine like terms: 4z + -1z = 3z
9 + 3z = 2z + -3

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

Solving
9 + 3z = -3 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
9 + 3z + -2z = -3 + 2z + -2z

Combine like terms: 3z + -2z = 1z
9 + 1z = -3 + 2z + -2z

Combine like terms: 2z + -2z = 0
9 + 1z = -3 + 0
9 + 1z = -3

Add '-9' to each side of the equation.
9 + -9 + 1z = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = -3 + -9
1z = -3 + -9

Combine like terms: -3 + -9 = -12
1z = -12

Divide each side by '1'.
z = -12

Simplifying
z = -12

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