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Simplifying (5)(2n + 3) + 6 = 7(n) Reorder the terms: 5(3 + 2n) + 6 = 7(n) (3 * 5 + 2n * 5) + 6 = 7(n) (15 + 10n) + 6 = 7(n) Reorder the terms: 15 + 6 + 10n = 7(n) Combine like terms: 15 + 6 = 21 21 + 10n = 7(n) Solving 21 + 10n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 21 + 10n + -7n = 7n + -7n Combine like terms: 10n + -7n = 3n 21 + 3n = 7n + -7n Combine like terms: 7n + -7n = 0 21 + 3n = 0 Add '-21' to each side of the equation. 21 + -21 + 3n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3n = 0 + -21 3n = 0 + -21 Combine like terms: 0 + -21 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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