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Simplifying -5 + 6(7h + 11) + 10h = 12 + -12(-5 + -5h) Reorder the terms: -5 + 6(11 + 7h) + 10h = 12 + -12(-5 + -5h) -5 + (11 * 6 + 7h * 6) + 10h = 12 + -12(-5 + -5h) -5 + (66 + 42h) + 10h = 12 + -12(-5 + -5h) Combine like terms: -5 + 66 = 61 61 + 42h + 10h = 12 + -12(-5 + -5h) Combine like terms: 42h + 10h = 52h 61 + 52h = 12 + -12(-5 + -5h) 61 + 52h = 12 + (-5 * -12 + -5h * -12) 61 + 52h = 12 + (60 + 60h) Combine like terms: 12 + 60 = 72 61 + 52h = 72 + 60h Solving 61 + 52h = 72 + 60h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-60h' to each side of the equation. 61 + 52h + -60h = 72 + 60h + -60h Combine like terms: 52h + -60h = -8h 61 + -8h = 72 + 60h + -60h Combine like terms: 60h + -60h = 0 61 + -8h = 72 + 0 61 + -8h = 72 Add '-61' to each side of the equation. 61 + -61 + -8h = 72 + -61 Combine like terms: 61 + -61 = 0 0 + -8h = 72 + -61 -8h = 72 + -61 Combine like terms: 72 + -61 = 11 -8h = 11 Divide each side by '-8'. h = -1.375 Simplifying h = -1.375
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