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Simplifying 6(h + 3) = 3(h + 11) Reorder the terms: 6(3 + h) = 3(h + 11) (3 * 6 + h * 6) = 3(h + 11) (18 + 6h) = 3(h + 11) Reorder the terms: 18 + 6h = 3(11 + h) 18 + 6h = (11 * 3 + h * 3) 18 + 6h = (33 + 3h) Solving 18 + 6h = 33 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 18 + 6h + -3h = 33 + 3h + -3h Combine like terms: 6h + -3h = 3h 18 + 3h = 33 + 3h + -3h Combine like terms: 3h + -3h = 0 18 + 3h = 33 + 0 18 + 3h = 33 Add '-18' to each side of the equation. 18 + -18 + 3h = 33 + -18 Combine like terms: 18 + -18 = 0 0 + 3h = 33 + -18 3h = 33 + -18 Combine like terms: 33 + -18 = 15 3h = 15 Divide each side by '3'. h = 5 Simplifying h = 5
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