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Simplifying -5(-4h + 20) + 9h = 20h + 17 Reorder the terms: -5(20 + -4h) + 9h = 20h + 17 (20 * -5 + -4h * -5) + 9h = 20h + 17 (-100 + 20h) + 9h = 20h + 17 Combine like terms: 20h + 9h = 29h -100 + 29h = 20h + 17 Reorder the terms: -100 + 29h = 17 + 20h Solving -100 + 29h = 17 + 20h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-20h' to each side of the equation. -100 + 29h + -20h = 17 + 20h + -20h Combine like terms: 29h + -20h = 9h -100 + 9h = 17 + 20h + -20h Combine like terms: 20h + -20h = 0 -100 + 9h = 17 + 0 -100 + 9h = 17 Add '100' to each side of the equation. -100 + 100 + 9h = 17 + 100 Combine like terms: -100 + 100 = 0 0 + 9h = 17 + 100 9h = 17 + 100 Combine like terms: 17 + 100 = 117 9h = 117 Divide each side by '9'. h = 13 Simplifying h = 13
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