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Simplifying 7(2n + 1) = 6(4n + 7) + 9 Reorder the terms: 7(1 + 2n) = 6(4n + 7) + 9 (1 * 7 + 2n * 7) = 6(4n + 7) + 9 (7 + 14n) = 6(4n + 7) + 9 Reorder the terms: 7 + 14n = 6(7 + 4n) + 9 7 + 14n = (7 * 6 + 4n * 6) + 9 7 + 14n = (42 + 24n) + 9 Reorder the terms: 7 + 14n = 42 + 9 + 24n Combine like terms: 42 + 9 = 51 7 + 14n = 51 + 24n Solving 7 + 14n = 51 + 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. 7 + 14n + -24n = 51 + 24n + -24n Combine like terms: 14n + -24n = -10n 7 + -10n = 51 + 24n + -24n Combine like terms: 24n + -24n = 0 7 + -10n = 51 + 0 7 + -10n = 51 Add '-7' to each side of the equation. 7 + -7 + -10n = 51 + -7 Combine like terms: 7 + -7 = 0 0 + -10n = 51 + -7 -10n = 51 + -7 Combine like terms: 51 + -7 = 44 -10n = 44 Divide each side by '-10'. n = -4.4 Simplifying n = -4.4
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