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Simplifying -3 + -1(2 + 3n) = -2(1 + 2n) + 3 -3 + (2 * -1 + 3n * -1) = -2(1 + 2n) + 3 -3 + (-2 + -3n) = -2(1 + 2n) + 3 Combine like terms: -3 + -2 = -5 -5 + -3n = -2(1 + 2n) + 3 -5 + -3n = (1 * -2 + 2n * -2) + 3 -5 + -3n = (-2 + -4n) + 3 Reorder the terms: -5 + -3n = -2 + 3 + -4n Combine like terms: -2 + 3 = 1 -5 + -3n = 1 + -4n Solving -5 + -3n = 1 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -5 + -3n + 4n = 1 + -4n + 4n Combine like terms: -3n + 4n = 1n -5 + 1n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 -5 + 1n = 1 + 0 -5 + 1n = 1 Add '5' to each side of the equation. -5 + 5 + 1n = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1n = 1 + 5 1n = 1 + 5 Combine like terms: 1 + 5 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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