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

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


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

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

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

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

Remove parenthesis around (3 + 7z)
-9 + 3z = 3 + 7z + -6

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

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

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

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-9 + 3z + -7z = -3 + 7z + -7z

Combine like terms: 3z + -7z = -4z
-9 + -4z = -3 + 7z + -7z

Combine like terms: 7z + -7z = 0
-9 + -4z = -3 + 0
-9 + -4z = -3

Add '9' to each side of the equation.
-9 + 9 + -4z = -3 + 9

Combine like terms: -9 + 9 = 0
0 + -4z = -3 + 9
-4z = -3 + 9

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

Divide each side by '-4'.
z = -1.5

Simplifying
z = -1.5

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