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Simplifying (n + -3) + 8 = -5 + 2n Reorder the terms: (-3 + n) + 8 = -5 + 2n Remove parenthesis around (-3 + n) -3 + n + 8 = -5 + 2n Reorder the terms: -3 + 8 + n = -5 + 2n Combine like terms: -3 + 8 = 5 5 + n = -5 + 2n Solving 5 + n = -5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + n + -2n = -5 + 2n + -2n Combine like terms: n + -2n = -1n 5 + -1n = -5 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + -1n = -5 + 0 5 + -1n = -5 Add '-5' to each side of the equation. 5 + -5 + -1n = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = -5 + -5 -1n = -5 + -5 Combine like terms: -5 + -5 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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