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Simplifying 9 + 2h = 5(h + 6) Reorder the terms: 9 + 2h = 5(6 + h) 9 + 2h = (6 * 5 + h * 5) 9 + 2h = (30 + 5h) Solving 9 + 2h = 30 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 9 + 2h + -5h = 30 + 5h + -5h Combine like terms: 2h + -5h = -3h 9 + -3h = 30 + 5h + -5h Combine like terms: 5h + -5h = 0 9 + -3h = 30 + 0 9 + -3h = 30 Add '-9' to each side of the equation. 9 + -9 + -3h = 30 + -9 Combine like terms: 9 + -9 = 0 0 + -3h = 30 + -9 -3h = 30 + -9 Combine like terms: 30 + -9 = 21 -3h = 21 Divide each side by '-3'. h = -7 Simplifying h = -7
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