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Simplifying 6(5 + -2h) = 3(4h + -2) + -7(2 + 2h) (5 * 6 + -2h * 6) = 3(4h + -2) + -7(2 + 2h) (30 + -12h) = 3(4h + -2) + -7(2 + 2h) Reorder the terms: 30 + -12h = 3(-2 + 4h) + -7(2 + 2h) 30 + -12h = (-2 * 3 + 4h * 3) + -7(2 + 2h) 30 + -12h = (-6 + 12h) + -7(2 + 2h) 30 + -12h = -6 + 12h + (2 * -7 + 2h * -7) 30 + -12h = -6 + 12h + (-14 + -14h) Reorder the terms: 30 + -12h = -6 + -14 + 12h + -14h Combine like terms: -6 + -14 = -20 30 + -12h = -20 + 12h + -14h Combine like terms: 12h + -14h = -2h 30 + -12h = -20 + -2h Solving 30 + -12h = -20 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. 30 + -12h + 2h = -20 + -2h + 2h Combine like terms: -12h + 2h = -10h 30 + -10h = -20 + -2h + 2h Combine like terms: -2h + 2h = 0 30 + -10h = -20 + 0 30 + -10h = -20 Add '-30' to each side of the equation. 30 + -30 + -10h = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -10h = -20 + -30 -10h = -20 + -30 Combine like terms: -20 + -30 = -50 -10h = -50 Divide each side by '-10'. h = 5 Simplifying h = 5
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