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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 = 48 -24z = 48 Divide each side by '-24'. z = -2 Simplifying z = -2
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