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Simplifying 2h + 8k + -6(5h + -5k) = 0 2h + 8k + (5h * -6 + -5k * -6) = 0 2h + 8k + (-30h + 30k) = 0 Reorder the terms: 2h + -30h + 8k + 30k = 0 Combine like terms: 2h + -30h = -28h -28h + 8k + 30k = 0 Combine like terms: 8k + 30k = 38k -28h + 38k = 0 Solving -28h + 38k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-38k' to each side of the equation. -28h + 38k + -38k = 0 + -38k Combine like terms: 38k + -38k = 0 -28h + 0 = 0 + -38k -28h = 0 + -38k Remove the zero: -28h = -38k Divide each side by '-28'. h = 1.357142857k Simplifying h = 1.357142857k
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