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Simplifying 3h + 8 + -4k + 10k + -2 = 0 Reorder the terms: 8 + -2 + 3h + -4k + 10k = 0 Combine like terms: 8 + -2 = 6 6 + 3h + -4k + 10k = 0 Combine like terms: -4k + 10k = 6k 6 + 3h + 6k = 0 Solving 6 + 3h + 6k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3h + -6 + 6k = 0 + -6 Reorder the terms: 6 + -6 + 3h + 6k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3h + 6k = 0 + -6 3h + 6k = 0 + -6 Combine like terms: 0 + -6 = -6 3h + 6k = -6 Add '-6k' to each side of the equation. 3h + 6k + -6k = -6 + -6k Combine like terms: 6k + -6k = 0 3h + 0 = -6 + -6k 3h = -6 + -6k Divide each side by '3'. h = -2 + -2k Simplifying h = -2 + -2k
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