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Simplifying 2(2 + -3n) + -1(5 + -3n) = 4 + -2n (2 * 2 + -3n * 2) + -1(5 + -3n) = 4 + -2n (4 + -6n) + -1(5 + -3n) = 4 + -2n 4 + -6n + (5 * -1 + -3n * -1) = 4 + -2n 4 + -6n + (-5 + 3n) = 4 + -2n Reorder the terms: 4 + -5 + -6n + 3n = 4 + -2n Combine like terms: 4 + -5 = -1 -1 + -6n + 3n = 4 + -2n Combine like terms: -6n + 3n = -3n -1 + -3n = 4 + -2n Solving -1 + -3n = 4 + -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. -1 + -3n + 2n = 4 + -2n + 2n Combine like terms: -3n + 2n = -1n -1 + -1n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 -1 + -1n = 4 + 0 -1 + -1n = 4 Add '1' to each side of the equation. -1 + 1 + -1n = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = 4 + 1 -1n = 4 + 1 Combine like terms: 4 + 1 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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