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Simplifying 3(5 + -1z) = 2z + -20 (5 * 3 + -1z * 3) = 2z + -20 (15 + -3z) = 2z + -20 Reorder the terms: 15 + -3z = -20 + 2z Solving 15 + -3z = -20 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 15 + -3z + -2z = -20 + 2z + -2z Combine like terms: -3z + -2z = -5z 15 + -5z = -20 + 2z + -2z Combine like terms: 2z + -2z = 0 15 + -5z = -20 + 0 15 + -5z = -20 Add '-15' to each side of the equation. 15 + -15 + -5z = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -5z = -20 + -15 -5z = -20 + -15 Combine like terms: -20 + -15 = -35 -5z = -35 Divide each side by '-5'. z = 7 Simplifying z = 7
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