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Simplifying 7(2n + 3) = 6(4n + 4) + 7 Reorder the terms: 7(3 + 2n) = 6(4n + 4) + 7 (3 * 7 + 2n * 7) = 6(4n + 4) + 7 (21 + 14n) = 6(4n + 4) + 7 Reorder the terms: 21 + 14n = 6(4 + 4n) + 7 21 + 14n = (4 * 6 + 4n * 6) + 7 21 + 14n = (24 + 24n) + 7 Reorder the terms: 21 + 14n = 24 + 7 + 24n Combine like terms: 24 + 7 = 31 21 + 14n = 31 + 24n Solving 21 + 14n = 31 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 21 + 14n + -24n = 31 + 24n + -24n Combine like terms: 14n + -24n = -10n 21 + -10n = 31 + 24n + -24n Combine like terms: 24n + -24n = 0 21 + -10n = 31 + 0 21 + -10n = 31 Add '-21' to each side of the equation. 21 + -21 + -10n = 31 + -21 Combine like terms: 21 + -21 = 0 0 + -10n = 31 + -21 -10n = 31 + -21 Combine like terms: 31 + -21 = 10 -10n = 10 Divide each side by '-10'. n = -1 Simplifying n = -1
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