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Simplifying 3n + 5(2 + -1n) = 2n + 10 3n + (2 * 5 + -1n * 5) = 2n + 10 3n + (10 + -5n) = 2n + 10 Reorder the terms: 10 + 3n + -5n = 2n + 10 Combine like terms: 3n + -5n = -2n 10 + -2n = 2n + 10 Reorder the terms: 10 + -2n = 10 + 2n Add '-10' to each side of the equation. 10 + -10 + -2n = 10 + -10 + 2n Combine like terms: 10 + -10 = 0 0 + -2n = 10 + -10 + 2n -2n = 10 + -10 + 2n Combine like terms: 10 + -10 = 0 -2n = 0 + 2n -2n = 2n Solving -2n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -2n + -2n = 2n + -2n Combine like terms: -2n + -2n = -4n -4n = 2n + -2n Combine like terms: 2n + -2n = 0 -4n = 0 Divide each side by '-4'. n = 0 Simplifying n = 0
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