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