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Simplifying 3(1 + -3n) = 2(-4n + 7) (1 * 3 + -3n * 3) = 2(-4n + 7) (3 + -9n) = 2(-4n + 7) Reorder the terms: 3 + -9n = 2(7 + -4n) 3 + -9n = (7 * 2 + -4n * 2) 3 + -9n = (14 + -8n) Solving 3 + -9n = 14 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 3 + -9n + 8n = 14 + -8n + 8n Combine like terms: -9n + 8n = -1n 3 + -1n = 14 + -8n + 8n Combine like terms: -8n + 8n = 0 3 + -1n = 14 + 0 3 + -1n = 14 Add '-3' to each side of the equation. 3 + -3 + -1n = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 14 + -3 -1n = 14 + -3 Combine like terms: 14 + -3 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11
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