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Simplifying -1(-5n + 7) + -1 = 2(n + 5) Reorder the terms: -1(7 + -5n) + -1 = 2(n + 5) (7 * -1 + -5n * -1) + -1 = 2(n + 5) (-7 + 5n) + -1 = 2(n + 5) Reorder the terms: -7 + -1 + 5n = 2(n + 5) Combine like terms: -7 + -1 = -8 -8 + 5n = 2(n + 5) Reorder the terms: -8 + 5n = 2(5 + n) -8 + 5n = (5 * 2 + n * 2) -8 + 5n = (10 + 2n) Solving -8 + 5n = 10 + 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. -8 + 5n + -2n = 10 + 2n + -2n Combine like terms: 5n + -2n = 3n -8 + 3n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 3n = 10 + 0 -8 + 3n = 10 Add '8' to each side of the equation. -8 + 8 + 3n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 10 + 8 3n = 10 + 8 Combine like terms: 10 + 8 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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