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Simplifying 4 + -6n = 3n + -8 Reorder the terms: 4 + -6n = -8 + 3n Solving 4 + -6n = -8 + 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. 4 + -6n + -3n = -8 + 3n + -3n Combine like terms: -6n + -3n = -9n 4 + -9n = -8 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -9n = -8 + 0 4 + -9n = -8 Add '-4' to each side of the equation. 4 + -4 + -9n = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = -8 + -4 -9n = -8 + -4 Combine like terms: -8 + -4 = -12 -9n = -12 Divide each side by '-9'. n = 1.333333333 Simplifying n = 1.333333333
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