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Simplifying 8(h + 2) + -5(h + -1) = 6 Reorder the terms: 8(2 + h) + -5(h + -1) = 6 (2 * 8 + h * 8) + -5(h + -1) = 6 (16 + 8h) + -5(h + -1) = 6 Reorder the terms: 16 + 8h + -5(-1 + h) = 6 16 + 8h + (-1 * -5 + h * -5) = 6 16 + 8h + (5 + -5h) = 6 Reorder the terms: 16 + 5 + 8h + -5h = 6 Combine like terms: 16 + 5 = 21 21 + 8h + -5h = 6 Combine like terms: 8h + -5h = 3h 21 + 3h = 6 Solving 21 + 3h = 6 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3h = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 3h = 6 + -21 3h = 6 + -21 Combine like terms: 6 + -21 = -15 3h = -15 Divide each side by '3'. h = -5 Simplifying h = -5
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