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Simplifying 9(4h + -1) = 5(7h + -1) Reorder the terms: 9(-1 + 4h) = 5(7h + -1) (-1 * 9 + 4h * 9) = 5(7h + -1) (-9 + 36h) = 5(7h + -1) Reorder the terms: -9 + 36h = 5(-1 + 7h) -9 + 36h = (-1 * 5 + 7h * 5) -9 + 36h = (-5 + 35h) Solving -9 + 36h = -5 + 35h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-35h' to each side of the equation. -9 + 36h + -35h = -5 + 35h + -35h Combine like terms: 36h + -35h = 1h -9 + 1h = -5 + 35h + -35h Combine like terms: 35h + -35h = 0 -9 + 1h = -5 + 0 -9 + 1h = -5 Add '9' to each side of the equation. -9 + 9 + 1h = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 1h = -5 + 9 1h = -5 + 9 Combine like terms: -5 + 9 = 4 1h = 4 Divide each side by '1'. h = 4 Simplifying h = 4
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