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Simplifying 5h + 3k + -4(7h + -6k) = 0 5h + 3k + (7h * -4 + -6k * -4) = 0 5h + 3k + (-28h + 24k) = 0 Reorder the terms: 5h + -28h + 3k + 24k = 0 Combine like terms: 5h + -28h = -23h -23h + 3k + 24k = 0 Combine like terms: 3k + 24k = 27k -23h + 27k = 0 Solving -23h + 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. -23h + 27k + -27k = 0 + -27k Combine like terms: 27k + -27k = 0 -23h + 0 = 0 + -27k -23h = 0 + -27k Remove the zero: -23h = -27k Divide each side by '-23'. h = 1.173913043k Simplifying h = 1.173913043k
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