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