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Simplifying -2n + 1 = -4 + n + 1 + -8 Reorder the terms: 1 + -2n = -4 + n + 1 + -8 Reorder the terms: 1 + -2n = -4 + 1 + -8 + n Combine like terms: -4 + 1 = -3 1 + -2n = -3 + -8 + n Combine like terms: -3 + -8 = -11 1 + -2n = -11 + n Solving 1 + -2n = -11 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 1 + -2n + -1n = -11 + n + -1n Combine like terms: -2n + -1n = -3n 1 + -3n = -11 + n + -1n Combine like terms: n + -1n = 0 1 + -3n = -11 + 0 1 + -3n = -11 Add '-1' to each side of the equation. 1 + -1 + -3n = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -11 + -1 -3n = -11 + -1 Combine like terms: -11 + -1 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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