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Simplifying -5n + -4(-7 + -4n) = -6n + 34 -5n + (-7 * -4 + -4n * -4) = -6n + 34 -5n + (28 + 16n) = -6n + 34 Reorder the terms: 28 + -5n + 16n = -6n + 34 Combine like terms: -5n + 16n = 11n 28 + 11n = -6n + 34 Reorder the terms: 28 + 11n = 34 + -6n Solving 28 + 11n = 34 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 28 + 11n + 6n = 34 + -6n + 6n Combine like terms: 11n + 6n = 17n 28 + 17n = 34 + -6n + 6n Combine like terms: -6n + 6n = 0 28 + 17n = 34 + 0 28 + 17n = 34 Add '-28' to each side of the equation. 28 + -28 + 17n = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 17n = 34 + -28 17n = 34 + -28 Combine like terms: 34 + -28 = 6 17n = 6 Divide each side by '17'. n = 0.3529411765 Simplifying n = 0.3529411765
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