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