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