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Simplifying 8 + 7h + (6 + -5h + 3k) = 0 Remove parenthesis around (6 + -5h + 3k) 8 + 7h + 6 + -5h + 3k = 0 Reorder the terms: 8 + 6 + 7h + -5h + 3k = 0 Combine like terms: 8 + 6 = 14 14 + 7h + -5h + 3k = 0 Combine like terms: 7h + -5h = 2h 14 + 2h + 3k = 0 Solving 14 + 2h + 3k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2h + -14 + 3k = 0 + -14 Reorder the terms: 14 + -14 + 2h + 3k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2h + 3k = 0 + -14 2h + 3k = 0 + -14 Combine like terms: 0 + -14 = -14 2h + 3k = -14 Add '-3k' to each side of the equation. 2h + 3k + -3k = -14 + -3k Combine like terms: 3k + -3k = 0 2h + 0 = -14 + -3k 2h = -14 + -3k Divide each side by '2'. h = -7 + -1.5k Simplifying h = -7 + -1.5k
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