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Simplifying 2(3h + -1) + 4 = 10(2 + -3h) + 38h Reorder the terms: 2(-1 + 3h) + 4 = 10(2 + -3h) + 38h (-1 * 2 + 3h * 2) + 4 = 10(2 + -3h) + 38h (-2 + 6h) + 4 = 10(2 + -3h) + 38h Reorder the terms: -2 + 4 + 6h = 10(2 + -3h) + 38h Combine like terms: -2 + 4 = 2 2 + 6h = 10(2 + -3h) + 38h 2 + 6h = (2 * 10 + -3h * 10) + 38h 2 + 6h = (20 + -30h) + 38h Combine like terms: -30h + 38h = 8h 2 + 6h = 20 + 8h Solving 2 + 6h = 20 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 2 + 6h + -8h = 20 + 8h + -8h Combine like terms: 6h + -8h = -2h 2 + -2h = 20 + 8h + -8h Combine like terms: 8h + -8h = 0 2 + -2h = 20 + 0 2 + -2h = 20 Add '-2' to each side of the equation. 2 + -2 + -2h = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -2h = 20 + -2 -2h = 20 + -2 Combine like terms: 20 + -2 = 18 -2h = 18 Divide each side by '-2'. h = -9 Simplifying h = -9
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