6+3z-3=9z+9-4z

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Solution for 6+3z-3=9z+9-4z equation:


Simplifying
6 + 3z + -3 = 9z + 9 + -4z

Reorder the terms:
6 + -3 + 3z = 9z + 9 + -4z

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

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

Combine like terms: 9z + -4z = 5z
3 + 3z = 9 + 5z

Solving
3 + 3z = 9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
3 + 3z + -5z = 9 + 5z + -5z

Combine like terms: 3z + -5z = -2z
3 + -2z = 9 + 5z + -5z

Combine like terms: 5z + -5z = 0
3 + -2z = 9 + 0
3 + -2z = 9

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

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

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

Divide each side by '-2'.
z = -3

Simplifying
z = -3

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