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Simplifying n + -5 = 3(n + 1) Reorder the terms: -5 + n = 3(n + 1) Reorder the terms: -5 + n = 3(1 + n) -5 + n = (1 * 3 + n * 3) -5 + n = (3 + 3n) Solving -5 + n = 3 + 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. -5 + n + -3n = 3 + 3n + -3n Combine like terms: n + -3n = -2n -5 + -2n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + -2n = 3 + 0 -5 + -2n = 3 Add '5' to each side of the equation. -5 + 5 + -2n = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -2n = 3 + 5 -2n = 3 + 5 Combine like terms: 3 + 5 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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