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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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