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Simplifying (6 + -3z) * 3 + (2 + -2z) * 3 = -6 Reorder the terms for easier multiplication: 3(6 + -3z) + (2 + -2z) * 3 = -6 (6 * 3 + -3z * 3) + (2 + -2z) * 3 = -6 (18 + -9z) + (2 + -2z) * 3 = -6 Reorder the terms for easier multiplication: 18 + -9z + 3(2 + -2z) = -6 18 + -9z + (2 * 3 + -2z * 3) = -6 18 + -9z + (6 + -6z) = -6 Reorder the terms: 18 + 6 + -9z + -6z = -6 Combine like terms: 18 + 6 = 24 24 + -9z + -6z = -6 Combine like terms: -9z + -6z = -15z 24 + -15z = -6 Solving 24 + -15z = -6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -15z = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -15z = -6 + -24 -15z = -6 + -24 Combine like terms: -6 + -24 = -30 -15z = -30 Divide each side by '-15'. z = 2 Simplifying z = 2
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