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Simplifying 3(n + -2) + -1 = 5(n + 1) Reorder the terms: 3(-2 + n) + -1 = 5(n + 1) (-2 * 3 + n * 3) + -1 = 5(n + 1) (-6 + 3n) + -1 = 5(n + 1) Reorder the terms: -6 + -1 + 3n = 5(n + 1) Combine like terms: -6 + -1 = -7 -7 + 3n = 5(n + 1) Reorder the terms: -7 + 3n = 5(1 + n) -7 + 3n = (1 * 5 + n * 5) -7 + 3n = (5 + 5n) Solving -7 + 3n = 5 + 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. -7 + 3n + -5n = 5 + 5n + -5n Combine like terms: 3n + -5n = -2n -7 + -2n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 -7 + -2n = 5 + 0 -7 + -2n = 5 Add '7' to each side of the equation. -7 + 7 + -2n = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2n = 5 + 7 -2n = 5 + 7 Combine like terms: 5 + 7 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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