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Simplifying 9h + 3k + -4(6h + -6k) = 0 9h + 3k + (6h * -4 + -6k * -4) = 0 9h + 3k + (-24h + 24k) = 0 Reorder the terms: 9h + -24h + 3k + 24k = 0 Combine like terms: 9h + -24h = -15h -15h + 3k + 24k = 0 Combine like terms: 3k + 24k = 27k -15h + 27k = 0 Solving -15h + 27k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-27k' to each side of the equation. -15h + 27k + -27k = 0 + -27k Combine like terms: 27k + -27k = 0 -15h + 0 = 0 + -27k -15h = 0 + -27k Remove the zero: -15h = -27k Divide each side by '-15'. h = 1.8k Simplifying h = 1.8k
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