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Simplifying 6(4h + 5) + 4 = 28 + 6(5h + -2) Reorder the terms: 6(5 + 4h) + 4 = 28 + 6(5h + -2) (5 * 6 + 4h * 6) + 4 = 28 + 6(5h + -2) (30 + 24h) + 4 = 28 + 6(5h + -2) Reorder the terms: 30 + 4 + 24h = 28 + 6(5h + -2) Combine like terms: 30 + 4 = 34 34 + 24h = 28 + 6(5h + -2) Reorder the terms: 34 + 24h = 28 + 6(-2 + 5h) 34 + 24h = 28 + (-2 * 6 + 5h * 6) 34 + 24h = 28 + (-12 + 30h) Combine like terms: 28 + -12 = 16 34 + 24h = 16 + 30h Solving 34 + 24h = 16 + 30h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-30h' to each side of the equation. 34 + 24h + -30h = 16 + 30h + -30h Combine like terms: 24h + -30h = -6h 34 + -6h = 16 + 30h + -30h Combine like terms: 30h + -30h = 0 34 + -6h = 16 + 0 34 + -6h = 16 Add '-34' to each side of the equation. 34 + -34 + -6h = 16 + -34 Combine like terms: 34 + -34 = 0 0 + -6h = 16 + -34 -6h = 16 + -34 Combine like terms: 16 + -34 = -18 -6h = -18 Divide each side by '-6'. h = 3 Simplifying h = 3
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