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Simplifying 3(n + -1) = 5(n + 2) Reorder the terms: 3(-1 + n) = 5(n + 2) (-1 * 3 + n * 3) = 5(n + 2) (-3 + 3n) = 5(n + 2) Reorder the terms: -3 + 3n = 5(2 + n) -3 + 3n = (2 * 5 + n * 5) -3 + 3n = (10 + 5n) Solving -3 + 3n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + 3n + -5n = 10 + 5n + -5n Combine like terms: 3n + -5n = -2n -3 + -2n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + -2n = 10 + 0 -3 + -2n = 10 Add '3' to each side of the equation. -3 + 3 + -2n = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -2n = 10 + 3 -2n = 10 + 3 Combine like terms: 10 + 3 = 13 -2n = 13 Divide each side by '-2'. n = -6.5 Simplifying n = -6.5
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