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Simplifying -5(-20 + 5z) = 5(15 + -4z) (-20 * -5 + 5z * -5) = 5(15 + -4z) (100 + -25z) = 5(15 + -4z) 100 + -25z = (15 * 5 + -4z * 5) 100 + -25z = (75 + -20z) Solving 100 + -25z = 75 + -20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20z' to each side of the equation. 100 + -25z + 20z = 75 + -20z + 20z Combine like terms: -25z + 20z = -5z 100 + -5z = 75 + -20z + 20z Combine like terms: -20z + 20z = 0 100 + -5z = 75 + 0 100 + -5z = 75 Add '-100' to each side of the equation. 100 + -100 + -5z = 75 + -100 Combine like terms: 100 + -100 = 0 0 + -5z = 75 + -100 -5z = 75 + -100 Combine like terms: 75 + -100 = -25 -5z = -25 Divide each side by '-5'. z = 5 Simplifying z = 5
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