-9(z-4)-(6z-4)=-16z

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Solution for -9(z-4)-(6z-4)=-16z equation:


Simplifying
-9(z + -4) + -1(6z + -4) = -16z

Reorder the terms:
-9(-4 + z) + -1(6z + -4) = -16z
(-4 * -9 + z * -9) + -1(6z + -4) = -16z
(36 + -9z) + -1(6z + -4) = -16z

Reorder the terms:
36 + -9z + -1(-4 + 6z) = -16z
36 + -9z + (-4 * -1 + 6z * -1) = -16z
36 + -9z + (4 + -6z) = -16z

Reorder the terms:
36 + 4 + -9z + -6z = -16z

Combine like terms: 36 + 4 = 40
40 + -9z + -6z = -16z

Combine like terms: -9z + -6z = -15z
40 + -15z = -16z

Solving
40 + -15z = -16z

Solving for variable 'z'.

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

Add '16z' to each side of the equation.
40 + -15z + 16z = -16z + 16z

Combine like terms: -15z + 16z = 1z
40 + 1z = -16z + 16z

Combine like terms: -16z + 16z = 0
40 + 1z = 0

Add '-40' to each side of the equation.
40 + -40 + 1z = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 1z = 0 + -40
1z = 0 + -40

Combine like terms: 0 + -40 = -40
1z = -40

Divide each side by '1'.
z = -40

Simplifying
z = -40

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