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Simplifying 12 + -4h + -2(h + -1) = 4(h + 4) Reorder the terms: 12 + -4h + -2(-1 + h) = 4(h + 4) 12 + -4h + (-1 * -2 + h * -2) = 4(h + 4) 12 + -4h + (2 + -2h) = 4(h + 4) Reorder the terms: 12 + 2 + -4h + -2h = 4(h + 4) Combine like terms: 12 + 2 = 14 14 + -4h + -2h = 4(h + 4) Combine like terms: -4h + -2h = -6h 14 + -6h = 4(h + 4) Reorder the terms: 14 + -6h = 4(4 + h) 14 + -6h = (4 * 4 + h * 4) 14 + -6h = (16 + 4h) Solving 14 + -6h = 16 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 14 + -6h + -4h = 16 + 4h + -4h Combine like terms: -6h + -4h = -10h 14 + -10h = 16 + 4h + -4h Combine like terms: 4h + -4h = 0 14 + -10h = 16 + 0 14 + -10h = 16 Add '-14' to each side of the equation. 14 + -14 + -10h = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -10h = 16 + -14 -10h = 16 + -14 Combine like terms: 16 + -14 = 2 -10h = 2 Divide each side by '-10'. h = -0.2 Simplifying h = -0.2
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