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Simplifying n + -1 = 13 + 3n + -1 + 1 Reorder the terms: -1 + n = 13 + 3n + -1 + 1 Reorder the terms: -1 + n = 13 + -1 + 1 + 3n Combine like terms: 13 + -1 = 12 -1 + n = 12 + 1 + 3n Combine like terms: 12 + 1 = 13 -1 + n = 13 + 3n Solving -1 + n = 13 + 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. -1 + n + -3n = 13 + 3n + -3n Combine like terms: n + -3n = -2n -1 + -2n = 13 + 3n + -3n Combine like terms: 3n + -3n = 0 -1 + -2n = 13 + 0 -1 + -2n = 13 Add '1' to each side of the equation. -1 + 1 + -2n = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = 13 + 1 -2n = 13 + 1 Combine like terms: 13 + 1 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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