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Simplifying 4(5h + -9) + -4(1 + -1h) = 9(h + -11) + -1 Reorder the terms: 4(-9 + 5h) + -4(1 + -1h) = 9(h + -11) + -1 (-9 * 4 + 5h * 4) + -4(1 + -1h) = 9(h + -11) + -1 (-36 + 20h) + -4(1 + -1h) = 9(h + -11) + -1 -36 + 20h + (1 * -4 + -1h * -4) = 9(h + -11) + -1 -36 + 20h + (-4 + 4h) = 9(h + -11) + -1 Reorder the terms: -36 + -4 + 20h + 4h = 9(h + -11) + -1 Combine like terms: -36 + -4 = -40 -40 + 20h + 4h = 9(h + -11) + -1 Combine like terms: 20h + 4h = 24h -40 + 24h = 9(h + -11) + -1 Reorder the terms: -40 + 24h = 9(-11 + h) + -1 -40 + 24h = (-11 * 9 + h * 9) + -1 -40 + 24h = (-99 + 9h) + -1 Reorder the terms: -40 + 24h = -99 + -1 + 9h Combine like terms: -99 + -1 = -100 -40 + 24h = -100 + 9h Solving -40 + 24h = -100 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. -40 + 24h + -9h = -100 + 9h + -9h Combine like terms: 24h + -9h = 15h -40 + 15h = -100 + 9h + -9h Combine like terms: 9h + -9h = 0 -40 + 15h = -100 + 0 -40 + 15h = -100 Add '40' to each side of the equation. -40 + 40 + 15h = -100 + 40 Combine like terms: -40 + 40 = 0 0 + 15h = -100 + 40 15h = -100 + 40 Combine like terms: -100 + 40 = -60 15h = -60 Divide each side by '15'. h = -4 Simplifying h = -4
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