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Simplifying -6z + -42 = 12 + 9z Reorder the terms: -42 + -6z = 12 + 9z Solving -42 + -6z = 12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -42 + -6z + -9z = 12 + 9z + -9z Combine like terms: -6z + -9z = -15z -42 + -15z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -42 + -15z = 12 + 0 -42 + -15z = 12 Add '42' to each side of the equation. -42 + 42 + -15z = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -15z = 12 + 42 -15z = 12 + 42 Combine like terms: 12 + 42 = 54 -15z = 54 Divide each side by '-15'. z = -3.6 Simplifying z = -3.6
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