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Simplifying -12 = -6(4z + 6) Reorder the terms: -12 = -6(6 + 4z) -12 = (6 * -6 + 4z * -6) -12 = (-36 + -24z) Solving -12 = -36 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -12 + 24z = -36 + -24z + 24z Combine like terms: -24z + 24z = 0 -12 + 24z = -36 + 0 -12 + 24z = -36 Add '12' to each side of the equation. -12 + 12 + 24z = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 24z = -36 + 12 24z = -36 + 12 Combine like terms: -36 + 12 = -24 24z = -24 Divide each side by '24'. z = -1 Simplifying z = -1
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