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Simplifying 2 + -5n = 7 + -2n Solving 2 + -5n = 7 + -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. 2 + -5n + 2n = 7 + -2n + 2n Combine like terms: -5n + 2n = -3n 2 + -3n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + -3n = 7 + 0 2 + -3n = 7 Add '-2' to each side of the equation. 2 + -2 + -3n = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 7 + -2 -3n = 7 + -2 Combine like terms: 7 + -2 = 5 -3n = 5 Divide each side by '-3'. n = -1.666666667 Simplifying n = -1.666666667
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