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Simplifying 4(5h + -9) + -3(-4h) = 9(h + -11) Reorder the terms: 4(-9 + 5h) + -3(-4h) = 9(h + -11) (-9 * 4 + 5h * 4) + -3(-4h) = 9(h + -11) (-36 + 20h) + -3(-4h) = 9(h + -11) Remove parenthesis around (-4h) -36 + 20h + -3 * -4h = 9(h + -11) Multiply -3 * -4 -36 + 20h + 12h = 9(h + -11) Combine like terms: 20h + 12h = 32h -36 + 32h = 9(h + -11) Reorder the terms: -36 + 32h = 9(-11 + h) -36 + 32h = (-11 * 9 + h * 9) -36 + 32h = (-99 + 9h) Solving -36 + 32h = -99 + 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. -36 + 32h + -9h = -99 + 9h + -9h Combine like terms: 32h + -9h = 23h -36 + 23h = -99 + 9h + -9h Combine like terms: 9h + -9h = 0 -36 + 23h = -99 + 0 -36 + 23h = -99 Add '36' to each side of the equation. -36 + 36 + 23h = -99 + 36 Combine like terms: -36 + 36 = 0 0 + 23h = -99 + 36 23h = -99 + 36 Combine like terms: -99 + 36 = -63 23h = -63 Divide each side by '23'. h = -2.739130435 Simplifying h = -2.739130435
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