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Simplifying 5(2 + -1n) = 2 + -3n (2 * 5 + -1n * 5) = 2 + -3n (10 + -5n) = 2 + -3n Solving 10 + -5n = 2 + -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. 10 + -5n + 3n = 2 + -3n + 3n Combine like terms: -5n + 3n = -2n 10 + -2n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 10 + -2n = 2 + 0 10 + -2n = 2 Add '-10' to each side of the equation. 10 + -10 + -2n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 2 + -10 -2n = 2 + -10 Combine like terms: 2 + -10 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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