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Simplifying 3(h + -1(-1k)) + 2(-3h + -4k) = 0 Remove parenthesis around (-1k) 3(h + -1 * -1k) + 2(-3h + -4k) = 0 Multiply -1 * -1 3(h + 1k) + 2(-3h + -4k) = 0 (h * 3 + 1k * 3) + 2(-3h + -4k) = 0 (3h + 3k) + 2(-3h + -4k) = 0 3h + 3k + (-3h * 2 + -4k * 2) = 0 3h + 3k + (-6h + -8k) = 0 Reorder the terms: 3h + -6h + 3k + -8k = 0 Combine like terms: 3h + -6h = -3h -3h + 3k + -8k = 0 Combine like terms: 3k + -8k = -5k -3h + -5k = 0 Solving -3h + -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. -3h + -5k + 5k = 0 + 5k Combine like terms: -5k + 5k = 0 -3h + 0 = 0 + 5k -3h = 0 + 5k Remove the zero: -3h = 5k Divide each side by '-3'. h = -1.666666667k Simplifying h = -1.666666667k
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