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Simplifying 5(3 + -1n) + 14 + 7n = 5 + 4n + 6 (3 * 5 + -1n * 5) + 14 + 7n = 5 + 4n + 6 (15 + -5n) + 14 + 7n = 5 + 4n + 6 Reorder the terms: 15 + 14 + -5n + 7n = 5 + 4n + 6 Combine like terms: 15 + 14 = 29 29 + -5n + 7n = 5 + 4n + 6 Combine like terms: -5n + 7n = 2n 29 + 2n = 5 + 4n + 6 Reorder the terms: 29 + 2n = 5 + 6 + 4n Combine like terms: 5 + 6 = 11 29 + 2n = 11 + 4n Solving 29 + 2n = 11 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 29 + 2n + -4n = 11 + 4n + -4n Combine like terms: 2n + -4n = -2n 29 + -2n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 29 + -2n = 11 + 0 29 + -2n = 11 Add '-29' to each side of the equation. 29 + -29 + -2n = 11 + -29 Combine like terms: 29 + -29 = 0 0 + -2n = 11 + -29 -2n = 11 + -29 Combine like terms: 11 + -29 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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