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Simplifying 5h + 6k + -5(3h + -9k) = 0 5h + 6k + (3h * -5 + -9k * -5) = 0 5h + 6k + (-15h + 45k) = 0 Reorder the terms: 5h + -15h + 6k + 45k = 0 Combine like terms: 5h + -15h = -10h -10h + 6k + 45k = 0 Combine like terms: 6k + 45k = 51k -10h + 51k = 0 Solving -10h + 51k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-51k' to each side of the equation. -10h + 51k + -51k = 0 + -51k Combine like terms: 51k + -51k = 0 -10h + 0 = 0 + -51k -10h = 0 + -51k Remove the zero: -10h = -51k Divide each side by '-10'. h = 5.1k Simplifying h = 5.1k
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