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Simplifying -7(n + -7) + -1(6 + -6n) = -2n Reorder the terms: -7(-7 + n) + -1(6 + -6n) = -2n (-7 * -7 + n * -7) + -1(6 + -6n) = -2n (49 + -7n) + -1(6 + -6n) = -2n 49 + -7n + (6 * -1 + -6n * -1) = -2n 49 + -7n + (-6 + 6n) = -2n Reorder the terms: 49 + -6 + -7n + 6n = -2n Combine like terms: 49 + -6 = 43 43 + -7n + 6n = -2n Combine like terms: -7n + 6n = -1n 43 + -1n = -2n Solving 43 + -1n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 43 + -1n + 2n = -2n + 2n Combine like terms: -1n + 2n = 1n 43 + 1n = -2n + 2n Combine like terms: -2n + 2n = 0 43 + 1n = 0 Add '-43' to each side of the equation. 43 + -43 + 1n = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 1n = 0 + -43 1n = 0 + -43 Combine like terms: 0 + -43 = -43 1n = -43 Divide each side by '1'. n = -43 Simplifying n = -43
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