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Simplifying -1(20 + 15z) = 5(2 + -2z) (20 * -1 + 15z * -1) = 5(2 + -2z) (-20 + -15z) = 5(2 + -2z) -20 + -15z = (2 * 5 + -2z * 5) -20 + -15z = (10 + -10z) Solving -20 + -15z = 10 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -20 + -15z + 10z = 10 + -10z + 10z Combine like terms: -15z + 10z = -5z -20 + -5z = 10 + -10z + 10z Combine like terms: -10z + 10z = 0 -20 + -5z = 10 + 0 -20 + -5z = 10 Add '20' to each side of the equation. -20 + 20 + -5z = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -5z = 10 + 20 -5z = 10 + 20 Combine like terms: 10 + 20 = 30 -5z = 30 Divide each side by '-5'. z = -6 Simplifying z = -6
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