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Simplifying 2h + -6k = 5(8k + 4) Reorder the terms: 2h + -6k = 5(4 + 8k) 2h + -6k = (4 * 5 + 8k * 5) 2h + -6k = (20 + 40k) Solving 2h + -6k = 20 + 40k Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6k' to each side of the equation. 2h + -6k + 6k = 20 + 40k + 6k Combine like terms: -6k + 6k = 0 2h + 0 = 20 + 40k + 6k 2h = 20 + 40k + 6k Combine like terms: 40k + 6k = 46k 2h = 20 + 46k Divide each side by '2'. h = 10 + 23k Simplifying h = 10 + 23k
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