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Simplifying (6 + n)(3h + 5) = 10 Reorder the terms: (6 + n)(5 + 3h) = 10 Multiply (6 + n) * (5 + 3h) (6(5 + 3h) + n(5 + 3h)) = 10 ((5 * 6 + 3h * 6) + n(5 + 3h)) = 10 ((30 + 18h) + n(5 + 3h)) = 10 (30 + 18h + (5 * n + 3h * n)) = 10 Reorder the terms: (30 + 18h + (3hn + 5n)) = 10 (30 + 18h + (3hn + 5n)) = 10 (30 + 18h + 3hn + 5n) = 10 Solving 30 + 18h + 3hn + 5n = 10 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 18h + 3hn + -30 + 5n = 10 + -30 Reorder the terms: 30 + -30 + 18h + 3hn + 5n = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 18h + 3hn + 5n = 10 + -30 18h + 3hn + 5n = 10 + -30 Combine like terms: 10 + -30 = -20 18h + 3hn + 5n = -20 Add '-5n' to each side of the equation. 18h + 3hn + 5n + -5n = -20 + -5n Combine like terms: 5n + -5n = 0 18h + 3hn + 0 = -20 + -5n 18h + 3hn = -20 + -5n Reorder the terms: 20 + 18h + 3hn + 5n = -20 + -5n + 20 + 5n Reorder the terms: 20 + 18h + 3hn + 5n = -20 + 20 + -5n + 5n Combine like terms: -20 + 20 = 0 20 + 18h + 3hn + 5n = 0 + -5n + 5n 20 + 18h + 3hn + 5n = -5n + 5n Combine like terms: -5n + 5n = 0 20 + 18h + 3hn + 5n = 0 The solution to this equation could not be determined.
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