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Simplifying -2(n + -1) + 7 = 3(n + 5) Reorder the terms: -2(-1 + n) + 7 = 3(n + 5) (-1 * -2 + n * -2) + 7 = 3(n + 5) (2 + -2n) + 7 = 3(n + 5) Reorder the terms: 2 + 7 + -2n = 3(n + 5) Combine like terms: 2 + 7 = 9 9 + -2n = 3(n + 5) Reorder the terms: 9 + -2n = 3(5 + n) 9 + -2n = (5 * 3 + n * 3) 9 + -2n = (15 + 3n) Solving 9 + -2n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 9 + -2n + -3n = 15 + 3n + -3n Combine like terms: -2n + -3n = -5n 9 + -5n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + -5n = 15 + 0 9 + -5n = 15 Add '-9' to each side of the equation. 9 + -9 + -5n = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -5n = 15 + -9 -5n = 15 + -9 Combine like terms: 15 + -9 = 6 -5n = 6 Divide each side by '-5'. n = -1.2 Simplifying n = -1.2
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