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Simplifying 3j + -1[2k + -1[5h + -1(3j + k)]] = 0 3j + -1[2k + -1[5h + (3j * -1 + k * -1)]] = 0 3j + -1[2k + -1[5h + (-3j + -1k)]] = 0 3j + -1[2k + [5h * -1 + -3j * -1 + -1k * -1]] = 0 3j + -1[2k + [-5h + 3j + 1k]] = 0 Reorder the terms: 3j + -1[-5h + 3j + 2k + 1k] = 0 Combine like terms: 2k + 1k = 3k 3j + -1[-5h + 3j + 3k] = 0 3j + [-5h * -1 + 3j * -1 + 3k * -1] = 0 3j + [5h + -3j + -3k] = 0 Reorder the terms: 5h + 3j + -3j + -3k = 0 Combine like terms: 3j + -3j = 0 5h + 0 + -3k = 0 5h + -3k = 0 Solving 5h + -3k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3k' to each side of the equation. 5h + -3k + 3k = 0 + 3k Combine like terms: -3k + 3k = 0 5h + 0 = 0 + 3k 5h = 0 + 3k Remove the zero: 5h = 3k Divide each side by '5'. h = 0.6k Simplifying h = 0.6k
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