-7(z-4)-(6z-6)=-144z

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Solution for -7(z-4)-(6z-6)=-144z equation:


Simplifying
-7(z + -4) + -1(6z + -6) = -144z

Reorder the terms:
-7(-4 + z) + -1(6z + -6) = -144z
(-4 * -7 + z * -7) + -1(6z + -6) = -144z
(28 + -7z) + -1(6z + -6) = -144z

Reorder the terms:
28 + -7z + -1(-6 + 6z) = -144z
28 + -7z + (-6 * -1 + 6z * -1) = -144z
28 + -7z + (6 + -6z) = -144z

Reorder the terms:
28 + 6 + -7z + -6z = -144z

Combine like terms: 28 + 6 = 34
34 + -7z + -6z = -144z

Combine like terms: -7z + -6z = -13z
34 + -13z = -144z

Solving
34 + -13z = -144z

Solving for variable 'z'.

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

Add '144z' to each side of the equation.
34 + -13z + 144z = -144z + 144z

Combine like terms: -13z + 144z = 131z
34 + 131z = -144z + 144z

Combine like terms: -144z + 144z = 0
34 + 131z = 0

Add '-34' to each side of the equation.
34 + -34 + 131z = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 131z = 0 + -34
131z = 0 + -34

Combine like terms: 0 + -34 = -34
131z = -34

Divide each side by '131'.
z = -0.2595419847

Simplifying
z = -0.2595419847

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