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Simplifying 20h + -1(5h + 9) + (7 + -9h) = (12h + -5) Reorder the terms: 20h + -1(9 + 5h) + (7 + -9h) = (12h + -5) 20h + (9 * -1 + 5h * -1) + (7 + -9h) = (12h + -5) 20h + (-9 + -5h) + (7 + -9h) = (12h + -5) Remove parenthesis around (7 + -9h) 20h + -9 + -5h + 7 + -9h = (12h + -5) Reorder the terms: -9 + 7 + 20h + -5h + -9h = (12h + -5) Combine like terms: -9 + 7 = -2 -2 + 20h + -5h + -9h = (12h + -5) Combine like terms: 20h + -5h = 15h -2 + 15h + -9h = (12h + -5) Combine like terms: 15h + -9h = 6h -2 + 6h = (12h + -5) Reorder the terms: -2 + 6h = (-5 + 12h) Remove parenthesis around (-5 + 12h) -2 + 6h = -5 + 12h Solving -2 + 6h = -5 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -2 + 6h + -12h = -5 + 12h + -12h Combine like terms: 6h + -12h = -6h -2 + -6h = -5 + 12h + -12h Combine like terms: 12h + -12h = 0 -2 + -6h = -5 + 0 -2 + -6h = -5 Add '2' to each side of the equation. -2 + 2 + -6h = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -6h = -5 + 2 -6h = -5 + 2 Combine like terms: -5 + 2 = -3 -6h = -3 Divide each side by '-6'. h = 0.5 Simplifying h = 0.5
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