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Simplifying 16 + -5(3h + -4) = 8(-2h + 11) Reorder the terms: 16 + -5(-4 + 3h) = 8(-2h + 11) 16 + (-4 * -5 + 3h * -5) = 8(-2h + 11) 16 + (20 + -15h) = 8(-2h + 11) Combine like terms: 16 + 20 = 36 36 + -15h = 8(-2h + 11) Reorder the terms: 36 + -15h = 8(11 + -2h) 36 + -15h = (11 * 8 + -2h * 8) 36 + -15h = (88 + -16h) Solving 36 + -15h = 88 + -16h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '16h' to each side of the equation. 36 + -15h + 16h = 88 + -16h + 16h Combine like terms: -15h + 16h = 1h 36 + 1h = 88 + -16h + 16h Combine like terms: -16h + 16h = 0 36 + 1h = 88 + 0 36 + 1h = 88 Add '-36' to each side of the equation. 36 + -36 + 1h = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 1h = 88 + -36 1h = 88 + -36 Combine like terms: 88 + -36 = 52 1h = 52 Divide each side by '1'. h = 52 Simplifying h = 52
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