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Simplifying 2 + 6n = 10 + 3n Solving 2 + 6n = 10 + 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 + 6n + -3n = 10 + 3n + -3n Combine like terms: 6n + -3n = 3n 2 + 3n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 3n = 10 + 0 2 + 3n = 10 Add '-2' to each side of the equation. 2 + -2 + 3n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 10 + -2 3n = 10 + -2 Combine like terms: 10 + -2 = 8 3n = 8 Divide each side by '3'. n = 2.666666667 Simplifying n = 2.666666667
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