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Simplifying 2(h + 8) = 6(2 + 3h) Reorder the terms: 2(8 + h) = 6(2 + 3h) (8 * 2 + h * 2) = 6(2 + 3h) (16 + 2h) = 6(2 + 3h) 16 + 2h = (2 * 6 + 3h * 6) 16 + 2h = (12 + 18h) Solving 16 + 2h = 12 + 18h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18h' to each side of the equation. 16 + 2h + -18h = 12 + 18h + -18h Combine like terms: 2h + -18h = -16h 16 + -16h = 12 + 18h + -18h Combine like terms: 18h + -18h = 0 16 + -16h = 12 + 0 16 + -16h = 12 Add '-16' to each side of the equation. 16 + -16 + -16h = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -16h = 12 + -16 -16h = 12 + -16 Combine like terms: 12 + -16 = -4 -16h = -4 Divide each side by '-16'. h = 0.25 Simplifying h = 0.25
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