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Simplifying 3(4h + -1k) + -1(5h + 2k) = 0 (4h * 3 + -1k * 3) + -1(5h + 2k) = 0 (12h + -3k) + -1(5h + 2k) = 0 12h + -3k + (5h * -1 + 2k * -1) = 0 12h + -3k + (-5h + -2k) = 0 Reorder the terms: 12h + -5h + -3k + -2k = 0 Combine like terms: 12h + -5h = 7h 7h + -3k + -2k = 0 Combine like terms: -3k + -2k = -5k 7h + -5k = 0 Solving 7h + -5k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '5k' to each side of the equation. 7h + -5k + 5k = 0 + 5k Combine like terms: -5k + 5k = 0 7h + 0 = 0 + 5k 7h = 0 + 5k Remove the zero: 7h = 5k Divide each side by '7'. h = 0.7142857143k Simplifying h = 0.7142857143k
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