3(z+3)=3z+6-z

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Solution for 3(z+3)=3z+6-z equation:


Simplifying
3(z + 3) = 3z + 6 + -1z

Reorder the terms:
3(3 + z) = 3z + 6 + -1z
(3 * 3 + z * 3) = 3z + 6 + -1z
(9 + 3z) = 3z + 6 + -1z

Reorder the terms:
9 + 3z = 6 + 3z + -1z

Combine like terms: 3z + -1z = 2z
9 + 3z = 6 + 2z

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

Combine like terms: 3z + -2z = 1z
9 + 1z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
9 + 1z = 6 + 0
9 + 1z = 6

Add '-9' to each side of the equation.
9 + -9 + 1z = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 6 + -9
1z = 6 + -9

Combine like terms: 6 + -9 = -3
1z = -3

Divide each side by '1'.
z = -3

Simplifying
z = -3

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