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Simplifying 6 + -4(2h + -3) = 3(h + 4) + 2 + -1h Reorder the terms: 6 + -4(-3 + 2h) = 3(h + 4) + 2 + -1h 6 + (-3 * -4 + 2h * -4) = 3(h + 4) + 2 + -1h 6 + (12 + -8h) = 3(h + 4) + 2 + -1h Combine like terms: 6 + 12 = 18 18 + -8h = 3(h + 4) + 2 + -1h Reorder the terms: 18 + -8h = 3(4 + h) + 2 + -1h 18 + -8h = (4 * 3 + h * 3) + 2 + -1h 18 + -8h = (12 + 3h) + 2 + -1h Reorder the terms: 18 + -8h = 12 + 2 + 3h + -1h Combine like terms: 12 + 2 = 14 18 + -8h = 14 + 3h + -1h Combine like terms: 3h + -1h = 2h 18 + -8h = 14 + 2h Solving 18 + -8h = 14 + 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. 18 + -8h + -2h = 14 + 2h + -2h Combine like terms: -8h + -2h = -10h 18 + -10h = 14 + 2h + -2h Combine like terms: 2h + -2h = 0 18 + -10h = 14 + 0 18 + -10h = 14 Add '-18' to each side of the equation. 18 + -18 + -10h = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -10h = 14 + -18 -10h = 14 + -18 Combine like terms: 14 + -18 = -4 -10h = -4 Divide each side by '-10'. h = 0.4 Simplifying h = 0.4
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