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Simplifying 7(n + 3) = 5(1 + 2n) + -2 Reorder the terms: 7(3 + n) = 5(1 + 2n) + -2 (3 * 7 + n * 7) = 5(1 + 2n) + -2 (21 + 7n) = 5(1 + 2n) + -2 21 + 7n = (1 * 5 + 2n * 5) + -2 21 + 7n = (5 + 10n) + -2 Reorder the terms: 21 + 7n = 5 + -2 + 10n Combine like terms: 5 + -2 = 3 21 + 7n = 3 + 10n Solving 21 + 7n = 3 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 21 + 7n + -10n = 3 + 10n + -10n Combine like terms: 7n + -10n = -3n 21 + -3n = 3 + 10n + -10n Combine like terms: 10n + -10n = 0 21 + -3n = 3 + 0 21 + -3n = 3 Add '-21' to each side of the equation. 21 + -21 + -3n = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -3n = 3 + -21 -3n = 3 + -21 Combine like terms: 3 + -21 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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