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Simplifying -2(3n + 1) + -11(n + -5) = 0 Reorder the terms: -2(1 + 3n) + -11(n + -5) = 0 (1 * -2 + 3n * -2) + -11(n + -5) = 0 (-2 + -6n) + -11(n + -5) = 0 Reorder the terms: -2 + -6n + -11(-5 + n) = 0 -2 + -6n + (-5 * -11 + n * -11) = 0 -2 + -6n + (55 + -11n) = 0 Reorder the terms: -2 + 55 + -6n + -11n = 0 Combine like terms: -2 + 55 = 53 53 + -6n + -11n = 0 Combine like terms: -6n + -11n = -17n 53 + -17n = 0 Solving 53 + -17n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -17n = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -17n = 0 + -53 -17n = 0 + -53 Combine like terms: 0 + -53 = -53 -17n = -53 Divide each side by '-17'. n = 3.117647059 Simplifying n = 3.117647059
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