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Simplifying 3(2h + -9) = -1(8 + -1h) Reorder the terms: 3(-9 + 2h) = -1(8 + -1h) (-9 * 3 + 2h * 3) = -1(8 + -1h) (-27 + 6h) = -1(8 + -1h) -27 + 6h = (8 * -1 + -1h * -1) -27 + 6h = (-8 + 1h) Solving -27 + 6h = -8 + 1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. -27 + 6h + -1h = -8 + 1h + -1h Combine like terms: 6h + -1h = 5h -27 + 5h = -8 + 1h + -1h Combine like terms: 1h + -1h = 0 -27 + 5h = -8 + 0 -27 + 5h = -8 Add '27' to each side of the equation. -27 + 27 + 5h = -8 + 27 Combine like terms: -27 + 27 = 0 0 + 5h = -8 + 27 5h = -8 + 27 Combine like terms: -8 + 27 = 19 5h = 19 Divide each side by '5'. h = 3.8 Simplifying h = 3.8
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