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Simplifying -3(2h + -1k) + 4(k + -3h) = 0 (2h * -3 + -1k * -3) + 4(k + -3h) = 0 (-6h + 3k) + 4(k + -3h) = 0 Reorder the terms: -6h + 3k + 4(-3h + k) = 0 -6h + 3k + (-3h * 4 + k * 4) = 0 -6h + 3k + (-12h + 4k) = 0 Reorder the terms: -6h + -12h + 3k + 4k = 0 Combine like terms: -6h + -12h = -18h -18h + 3k + 4k = 0 Combine like terms: 3k + 4k = 7k -18h + 7k = 0 Solving -18h + 7k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7k' to each side of the equation. -18h + 7k + -7k = 0 + -7k Combine like terms: 7k + -7k = 0 -18h + 0 = 0 + -7k -18h = 0 + -7k Remove the zero: -18h = -7k Divide each side by '-18'. h = 0.3888888889k Simplifying h = 0.3888888889k
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