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Simplifying 20(3z + -5) = 5(15z + -8) Reorder the terms: 20(-5 + 3z) = 5(15z + -8) (-5 * 20 + 3z * 20) = 5(15z + -8) (-100 + 60z) = 5(15z + -8) Reorder the terms: -100 + 60z = 5(-8 + 15z) -100 + 60z = (-8 * 5 + 15z * 5) -100 + 60z = (-40 + 75z) Solving -100 + 60z = -40 + 75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-75z' to each side of the equation. -100 + 60z + -75z = -40 + 75z + -75z Combine like terms: 60z + -75z = -15z -100 + -15z = -40 + 75z + -75z Combine like terms: 75z + -75z = 0 -100 + -15z = -40 + 0 -100 + -15z = -40 Add '100' to each side of the equation. -100 + 100 + -15z = -40 + 100 Combine like terms: -100 + 100 = 0 0 + -15z = -40 + 100 -15z = -40 + 100 Combine like terms: -40 + 100 = 60 -15z = 60 Divide each side by '-15'. z = -4 Simplifying z = -4
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