7+3(2z-6)-3(4z+3)-6=

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Solution for 7+3(2z-6)-3(4z+3)-6= equation:


Simplifying
7 + 3(2z + -6) + -3(4z + 3) + -6 = 0

Reorder the terms:
7 + 3(-6 + 2z) + -3(4z + 3) + -6 = 0
7 + (-6 * 3 + 2z * 3) + -3(4z + 3) + -6 = 0
7 + (-18 + 6z) + -3(4z + 3) + -6 = 0

Reorder the terms:
7 + -18 + 6z + -3(3 + 4z) + -6 = 0
7 + -18 + 6z + (3 * -3 + 4z * -3) + -6 = 0
7 + -18 + 6z + (-9 + -12z) + -6 = 0

Reorder the terms:
7 + -18 + -9 + -6 + 6z + -12z = 0

Combine like terms: 7 + -18 = -11
-11 + -9 + -6 + 6z + -12z = 0

Combine like terms: -11 + -9 = -20
-20 + -6 + 6z + -12z = 0

Combine like terms: -20 + -6 = -26
-26 + 6z + -12z = 0

Combine like terms: 6z + -12z = -6z
-26 + -6z = 0

Solving
-26 + -6z = 0

Solving for variable 'z'.

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

Add '26' to each side of the equation.
-26 + 26 + -6z = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -6z = 0 + 26
-6z = 0 + 26

Combine like terms: 0 + 26 = 26
-6z = 26

Divide each side by '-6'.
z = -4.333333333

Simplifying
z = -4.333333333

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