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Simplifying 3(4n + 5) + 2(n + -1) = 0 Reorder the terms: 3(5 + 4n) + 2(n + -1) = 0 (5 * 3 + 4n * 3) + 2(n + -1) = 0 (15 + 12n) + 2(n + -1) = 0 Reorder the terms: 15 + 12n + 2(-1 + n) = 0 15 + 12n + (-1 * 2 + n * 2) = 0 15 + 12n + (-2 + 2n) = 0 Reorder the terms: 15 + -2 + 12n + 2n = 0 Combine like terms: 15 + -2 = 13 13 + 12n + 2n = 0 Combine like terms: 12n + 2n = 14n 13 + 14n = 0 Solving 13 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 14n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 14n = 0 + -13 14n = 0 + -13 Combine like terms: 0 + -13 = -13 14n = -13 Divide each side by '14'. n = -0.9285714286 Simplifying n = -0.9285714286
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