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Simplifying 3(h + 2) = -1(-3h + 8) + 6(5 + -1h) + -4 Reorder the terms: 3(2 + h) = -1(-3h + 8) + 6(5 + -1h) + -4 (2 * 3 + h * 3) = -1(-3h + 8) + 6(5 + -1h) + -4 (6 + 3h) = -1(-3h + 8) + 6(5 + -1h) + -4 Reorder the terms: 6 + 3h = -1(8 + -3h) + 6(5 + -1h) + -4 6 + 3h = (8 * -1 + -3h * -1) + 6(5 + -1h) + -4 6 + 3h = (-8 + 3h) + 6(5 + -1h) + -4 6 + 3h = -8 + 3h + (5 * 6 + -1h * 6) + -4 6 + 3h = -8 + 3h + (30 + -6h) + -4 Reorder the terms: 6 + 3h = -8 + 30 + -4 + 3h + -6h Combine like terms: -8 + 30 = 22 6 + 3h = 22 + -4 + 3h + -6h Combine like terms: 22 + -4 = 18 6 + 3h = 18 + 3h + -6h Combine like terms: 3h + -6h = -3h 6 + 3h = 18 + -3h Solving 6 + 3h = 18 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. 6 + 3h + 3h = 18 + -3h + 3h Combine like terms: 3h + 3h = 6h 6 + 6h = 18 + -3h + 3h Combine like terms: -3h + 3h = 0 6 + 6h = 18 + 0 6 + 6h = 18 Add '-6' to each side of the equation. 6 + -6 + 6h = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6h = 18 + -6 6h = 18 + -6 Combine like terms: 18 + -6 = 12 6h = 12 Divide each side by '6'. h = 2 Simplifying h = 2
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