3(z+3)=7+3z-6z

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Solution for 3(z+3)=7+3z-6z equation:


Simplifying
3(z + 3) = 7 + 3z + -6z

Reorder the terms:
3(3 + z) = 7 + 3z + -6z
(3 * 3 + z * 3) = 7 + 3z + -6z
(9 + 3z) = 7 + 3z + -6z

Combine like terms: 3z + -6z = -3z
9 + 3z = 7 + -3z

Solving
9 + 3z = 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.
9 + 3z + 3z = 7 + -3z + 3z

Combine like terms: 3z + 3z = 6z
9 + 6z = 7 + -3z + 3z

Combine like terms: -3z + 3z = 0
9 + 6z = 7 + 0
9 + 6z = 7

Add '-9' to each side of the equation.
9 + -9 + 6z = 7 + -9

Combine like terms: 9 + -9 = 0
0 + 6z = 7 + -9
6z = 7 + -9

Combine like terms: 7 + -9 = -2
6z = -2

Divide each side by '6'.
z = -0.3333333333

Simplifying
z = -0.3333333333

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