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Simplifying 36 + 64 + -1(h + 3) * 6 + (-3h + 1) * 8 + h + -3 = 0 Reorder the terms: 36 + 64 + -1(3 + h) * 6 + (-3h + 1) * 8 + h + -3 = 0 Reorder the terms for easier multiplication: 36 + 64 + -1 * 6(3 + h) + (-3h + 1) * 8 + h + -3 = 0 Multiply -1 * 6 36 + 64 + -6(3 + h) + (-3h + 1) * 8 + h + -3 = 0 36 + 64 + (3 * -6 + h * -6) + (-3h + 1) * 8 + h + -3 = 0 36 + 64 + (-18 + -6h) + (-3h + 1) * 8 + h + -3 = 0 Reorder the terms: 36 + 64 + -18 + -6h + (1 + -3h) * 8 + h + -3 = 0 Reorder the terms for easier multiplication: 36 + 64 + -18 + -6h + 8(1 + -3h) + h + -3 = 0 36 + 64 + -18 + -6h + (1 * 8 + -3h * 8) + h + -3 = 0 36 + 64 + -18 + -6h + (8 + -24h) + h + -3 = 0 Reorder the terms: 36 + 64 + -18 + 8 + -3 + -6h + -24h + h = 0 Combine like terms: 36 + 64 = 100 100 + -18 + 8 + -3 + -6h + -24h + h = 0 Combine like terms: 100 + -18 = 82 82 + 8 + -3 + -6h + -24h + h = 0 Combine like terms: 82 + 8 = 90 90 + -3 + -6h + -24h + h = 0 Combine like terms: 90 + -3 = 87 87 + -6h + -24h + h = 0 Combine like terms: -6h + -24h = -30h 87 + -30h + h = 0 Combine like terms: -30h + h = -29h 87 + -29h = 0 Solving 87 + -29h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + -29h = 0 + -87 Combine like terms: 87 + -87 = 0 0 + -29h = 0 + -87 -29h = 0 + -87 Combine like terms: 0 + -87 = -87 -29h = -87 Divide each side by '-29'. h = 3 Simplifying h = 3
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