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Simplifying -2(n + -5) + -1(3n + -5) = -6n Reorder the terms: -2(-5 + n) + -1(3n + -5) = -6n (-5 * -2 + n * -2) + -1(3n + -5) = -6n (10 + -2n) + -1(3n + -5) = -6n Reorder the terms: 10 + -2n + -1(-5 + 3n) = -6n 10 + -2n + (-5 * -1 + 3n * -1) = -6n 10 + -2n + (5 + -3n) = -6n Reorder the terms: 10 + 5 + -2n + -3n = -6n Combine like terms: 10 + 5 = 15 15 + -2n + -3n = -6n Combine like terms: -2n + -3n = -5n 15 + -5n = -6n Solving 15 + -5n = -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. 15 + -5n + 6n = -6n + 6n Combine like terms: -5n + 6n = 1n 15 + 1n = -6n + 6n Combine like terms: -6n + 6n = 0 15 + 1n = 0 Add '-15' to each side of the equation. 15 + -15 + 1n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 0 + -15 1n = 0 + -15 Combine like terms: 0 + -15 = -15 1n = -15 Divide each side by '1'. n = -15 Simplifying n = -15
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