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Simplifying -2(3n + -5) + -1(n + 6) = 1 + 2n + -6n Reorder the terms: -2(-5 + 3n) + -1(n + 6) = 1 + 2n + -6n (-5 * -2 + 3n * -2) + -1(n + 6) = 1 + 2n + -6n (10 + -6n) + -1(n + 6) = 1 + 2n + -6n Reorder the terms: 10 + -6n + -1(6 + n) = 1 + 2n + -6n 10 + -6n + (6 * -1 + n * -1) = 1 + 2n + -6n 10 + -6n + (-6 + -1n) = 1 + 2n + -6n Reorder the terms: 10 + -6 + -6n + -1n = 1 + 2n + -6n Combine like terms: 10 + -6 = 4 4 + -6n + -1n = 1 + 2n + -6n Combine like terms: -6n + -1n = -7n 4 + -7n = 1 + 2n + -6n Combine like terms: 2n + -6n = -4n 4 + -7n = 1 + -4n Solving 4 + -7n = 1 + -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. 4 + -7n + 4n = 1 + -4n + 4n Combine like terms: -7n + 4n = -3n 4 + -3n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + -3n = 1 + 0 4 + -3n = 1 Add '-4' to each side of the equation. 4 + -4 + -3n = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 1 + -4 -3n = 1 + -4 Combine like terms: 1 + -4 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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