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Simplifying 2 + -2n = 3n + 7 Reorder the terms: 2 + -2n = 7 + 3n Solving 2 + -2n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + -2n + -3n = 7 + 3n + -3n Combine like terms: -2n + -3n = -5n 2 + -5n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + -5n = 7 + 0 2 + -5n = 7 Add '-2' to each side of the equation. 2 + -2 + -5n = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5n = 7 + -2 -5n = 7 + -2 Combine like terms: 7 + -2 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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