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Simplifying 6n + -3n + 6 = 6n + -2 Reorder the terms: 6 + 6n + -3n = 6n + -2 Combine like terms: 6n + -3n = 3n 6 + 3n = 6n + -2 Reorder the terms: 6 + 3n = -2 + 6n Solving 6 + 3n = -2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 6 + 3n + -6n = -2 + 6n + -6n Combine like terms: 3n + -6n = -3n 6 + -3n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 6 + -3n = -2 + 0 6 + -3n = -2 Add '-6' to each side of the equation. 6 + -6 + -3n = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = -2 + -6 -3n = -2 + -6 Combine like terms: -2 + -6 = -8 -3n = -8 Divide each side by '-3'. n = 2.666666667 Simplifying n = 2.666666667
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