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Simplifying 7n + 3 + 2 = 2(7 + 5n) + 7(n + 3) Reorder the terms: 3 + 2 + 7n = 2(7 + 5n) + 7(n + 3) Combine like terms: 3 + 2 = 5 5 + 7n = 2(7 + 5n) + 7(n + 3) 5 + 7n = (7 * 2 + 5n * 2) + 7(n + 3) 5 + 7n = (14 + 10n) + 7(n + 3) Reorder the terms: 5 + 7n = 14 + 10n + 7(3 + n) 5 + 7n = 14 + 10n + (3 * 7 + n * 7) 5 + 7n = 14 + 10n + (21 + 7n) Reorder the terms: 5 + 7n = 14 + 21 + 10n + 7n Combine like terms: 14 + 21 = 35 5 + 7n = 35 + 10n + 7n Combine like terms: 10n + 7n = 17n 5 + 7n = 35 + 17n Solving 5 + 7n = 35 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 5 + 7n + -17n = 35 + 17n + -17n Combine like terms: 7n + -17n = -10n 5 + -10n = 35 + 17n + -17n Combine like terms: 17n + -17n = 0 5 + -10n = 35 + 0 5 + -10n = 35 Add '-5' to each side of the equation. 5 + -5 + -10n = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -10n = 35 + -5 -10n = 35 + -5 Combine like terms: 35 + -5 = 30 -10n = 30 Divide each side by '-10'. n = -3 Simplifying n = -3
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