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Simplifying -1(n + 3) + 2(n + 7) = 0 Reorder the terms: -1(3 + n) + 2(n + 7) = 0 (3 * -1 + n * -1) + 2(n + 7) = 0 (-3 + -1n) + 2(n + 7) = 0 Reorder the terms: -3 + -1n + 2(7 + n) = 0 -3 + -1n + (7 * 2 + n * 2) = 0 -3 + -1n + (14 + 2n) = 0 Reorder the terms: -3 + 14 + -1n + 2n = 0 Combine like terms: -3 + 14 = 11 11 + -1n + 2n = 0 Combine like terms: -1n + 2n = 1n 11 + 1n = 0 Solving 11 + 1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1n = 0 + -11 1n = 0 + -11 Combine like terms: 0 + -11 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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