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Simplifying 8k + 3[5h + -1(3k + -2h)] = -1k + 21u Reorder the terms: 8k + 3[5h + -1(-2h + 3k)] = -1k + 21u 8k + 3[5h + (-2h * -1 + 3k * -1)] = -1k + 21u 8k + 3[5h + (2h + -3k)] = -1k + 21u Combine like terms: 5h + 2h = 7h 8k + 3[7h + -3k] = -1k + 21u 8k + [7h * 3 + -3k * 3] = -1k + 21u 8k + [21h + -9k] = -1k + 21u Reorder the terms: 21h + 8k + -9k = -1k + 21u Combine like terms: 8k + -9k = -1k 21h + -1k = -1k + 21u Add 'k' to each side of the equation. 21h + -1k + k = -1k + k + 21u Combine like terms: -1k + k = 0 21h + 0 = -1k + k + 21u 21h = -1k + k + 21u Combine like terms: -1k + k = 0 21h = 0 + 21u 21h = 21u Solving 21h = 21u Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by '21'. h = u Simplifying h = u
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