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Simplifying -1(n + -3) + 6 = n + 13 + -2 Reorder the terms: -1(-3 + n) + 6 = n + 13 + -2 (-3 * -1 + n * -1) + 6 = n + 13 + -2 (3 + -1n) + 6 = n + 13 + -2 Reorder the terms: 3 + 6 + -1n = n + 13 + -2 Combine like terms: 3 + 6 = 9 9 + -1n = n + 13 + -2 Reorder the terms: 9 + -1n = 13 + -2 + n Combine like terms: 13 + -2 = 11 9 + -1n = 11 + n Solving 9 + -1n = 11 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 9 + -1n + -1n = 11 + n + -1n Combine like terms: -1n + -1n = -2n 9 + -2n = 11 + n + -1n Combine like terms: n + -1n = 0 9 + -2n = 11 + 0 9 + -2n = 11 Add '-9' to each side of the equation. 9 + -9 + -2n = 11 + -9 Combine like terms: 9 + -9 = 0 0 + -2n = 11 + -9 -2n = 11 + -9 Combine like terms: 11 + -9 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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