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Simplifying 5(2z + -17) = 8(z + 5) Reorder the terms: 5(-17 + 2z) = 8(z + 5) (-17 * 5 + 2z * 5) = 8(z + 5) (-85 + 10z) = 8(z + 5) Reorder the terms: -85 + 10z = 8(5 + z) -85 + 10z = (5 * 8 + z * 8) -85 + 10z = (40 + 8z) Solving -85 + 10z = 40 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -85 + 10z + -8z = 40 + 8z + -8z Combine like terms: 10z + -8z = 2z -85 + 2z = 40 + 8z + -8z Combine like terms: 8z + -8z = 0 -85 + 2z = 40 + 0 -85 + 2z = 40 Add '85' to each side of the equation. -85 + 85 + 2z = 40 + 85 Combine like terms: -85 + 85 = 0 0 + 2z = 40 + 85 2z = 40 + 85 Combine like terms: 40 + 85 = 125 2z = 125 Divide each side by '2'. z = 62.5 Simplifying z = 62.5
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