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Simplifying 1n + 1 + -3n = -5 + 1n + 1 + -2n Reorder the terms: 1 + 1n + -3n = -5 + 1n + 1 + -2n Combine like terms: 1n + -3n = -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 = -1n 1 + -2n = -4 + -1n Solving 1 + -2n = -4 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 1 + -2n + n = -4 + -1n + n Combine like terms: -2n + n = -1n 1 + -1n = -4 + -1n + n Combine like terms: -1n + n = 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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