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Simplifying [6h + 8] + -1[3h + 2] = 15 Reorder the terms: [8 + 6h] + -1[3h + 2] = 15 Remove brackets around [8 + 6h] 8 + 6h + -1[3h + 2] = 15 Reorder the terms: 8 + 6h + -1[2 + 3h] = 15 8 + 6h + [2 * -1 + 3h * -1] = 15 8 + 6h + [-2 + -3h] = 15 Reorder the terms: 8 + -2 + 6h + -3h = 15 Combine like terms: 8 + -2 = 6 6 + 6h + -3h = 15 Combine like terms: 6h + -3h = 3h 6 + 3h = 15 Solving 6 + 3h = 15 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3h = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 3h = 15 + -6 3h = 15 + -6 Combine like terms: 15 + -6 = 9 3h = 9 Divide each side by '3'. h = 3 Simplifying h = 3
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