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Simplifying -4 + 19h + 20h = 11 + -9(-7h + -17) Combine like terms: 19h + 20h = 39h -4 + 39h = 11 + -9(-7h + -17) Reorder the terms: -4 + 39h = 11 + -9(-17 + -7h) -4 + 39h = 11 + (-17 * -9 + -7h * -9) -4 + 39h = 11 + (153 + 63h) Combine like terms: 11 + 153 = 164 -4 + 39h = 164 + 63h Solving -4 + 39h = 164 + 63h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-63h' to each side of the equation. -4 + 39h + -63h = 164 + 63h + -63h Combine like terms: 39h + -63h = -24h -4 + -24h = 164 + 63h + -63h Combine like terms: 63h + -63h = 0 -4 + -24h = 164 + 0 -4 + -24h = 164 Add '4' to each side of the equation. -4 + 4 + -24h = 164 + 4 Combine like terms: -4 + 4 = 0 0 + -24h = 164 + 4 -24h = 164 + 4 Combine like terms: 164 + 4 = 168 -24h = 168 Divide each side by '-24'. h = -7 Simplifying h = -7
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