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Simplifying 8(h + 2) + -5(h + -1) = 6h Reorder the terms: 8(2 + h) + -5(h + -1) = 6h (2 * 8 + h * 8) + -5(h + -1) = 6h (16 + 8h) + -5(h + -1) = 6h Reorder the terms: 16 + 8h + -5(-1 + h) = 6h 16 + 8h + (-1 * -5 + h * -5) = 6h 16 + 8h + (5 + -5h) = 6h Reorder the terms: 16 + 5 + 8h + -5h = 6h Combine like terms: 16 + 5 = 21 21 + 8h + -5h = 6h Combine like terms: 8h + -5h = 3h 21 + 3h = 6h Solving 21 + 3h = 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 21 + 3h + -6h = 6h + -6h Combine like terms: 3h + -6h = -3h 21 + -3h = 6h + -6h Combine like terms: 6h + -6h = 0 21 + -3h = 0 Add '-21' to each side of the equation. 21 + -21 + -3h = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3h = 0 + -21 -3h = 0 + -21 Combine like terms: 0 + -21 = -21 -3h = -21 Divide each side by '-3'. h = 7 Simplifying h = 7
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