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Simplifying 5h + 8k + -5(9h + -8k) = 0 5h + 8k + (9h * -5 + -8k * -5) = 0 5h + 8k + (-45h + 40k) = 0 Reorder the terms: 5h + -45h + 8k + 40k = 0 Combine like terms: 5h + -45h = -40h -40h + 8k + 40k = 0 Combine like terms: 8k + 40k = 48k -40h + 48k = 0 Solving -40h + 48k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-48k' to each side of the equation. -40h + 48k + -48k = 0 + -48k Combine like terms: 48k + -48k = 0 -40h + 0 = 0 + -48k -40h = 0 + -48k Remove the zero: -40h = -48k Divide each side by '-40'. h = 1.2k Simplifying h = 1.2k
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