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Simplifying 3n + -10 = 8 + -6n Reorder the terms: -10 + 3n = 8 + -6n Solving -10 + 3n = 8 + -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. -10 + 3n + 6n = 8 + -6n + 6n Combine like terms: 3n + 6n = 9n -10 + 9n = 8 + -6n + 6n Combine like terms: -6n + 6n = 0 -10 + 9n = 8 + 0 -10 + 9n = 8 Add '10' to each side of the equation. -10 + 10 + 9n = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 9n = 8 + 10 9n = 8 + 10 Combine like terms: 8 + 10 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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