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