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Simplifying 10 + 2n = -5n + 2n Combine like terms: -5n + 2n = -3n 10 + 2n = -3n Solving 10 + 2n = -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. 10 + 2n + 3n = -3n + 3n Combine like terms: 2n + 3n = 5n 10 + 5n = -3n + 3n Combine like terms: -3n + 3n = 0 10 + 5n = 0 Add '-10' to each side of the equation. 10 + -10 + 5n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5n = 0 + -10 5n = 0 + -10 Combine like terms: 0 + -10 = -10 5n = -10 Divide each side by '5'. n = -2 Simplifying n = -2
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