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Simplifying 5(2z + 20) = 7z + 8 Reorder the terms: 5(20 + 2z) = 7z + 8 (20 * 5 + 2z * 5) = 7z + 8 (100 + 10z) = 7z + 8 Reorder the terms: 100 + 10z = 8 + 7z Solving 100 + 10z = 8 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 100 + 10z + -7z = 8 + 7z + -7z Combine like terms: 10z + -7z = 3z 100 + 3z = 8 + 7z + -7z Combine like terms: 7z + -7z = 0 100 + 3z = 8 + 0 100 + 3z = 8 Add '-100' to each side of the equation. 100 + -100 + 3z = 8 + -100 Combine like terms: 100 + -100 = 0 0 + 3z = 8 + -100 3z = 8 + -100 Combine like terms: 8 + -100 = -92 3z = -92 Divide each side by '3'. z = -30.66666667 Simplifying z = -30.66666667
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