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Simplifying 3(4 + -2n) = 2(7 + -1n) (4 * 3 + -2n * 3) = 2(7 + -1n) (12 + -6n) = 2(7 + -1n) 12 + -6n = (7 * 2 + -1n * 2) 12 + -6n = (14 + -2n) Solving 12 + -6n = 14 + -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. 12 + -6n + 2n = 14 + -2n + 2n Combine like terms: -6n + 2n = -4n 12 + -4n = 14 + -2n + 2n Combine like terms: -2n + 2n = 0 12 + -4n = 14 + 0 12 + -4n = 14 Add '-12' to each side of the equation. 12 + -12 + -4n = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = 14 + -12 -4n = 14 + -12 Combine like terms: 14 + -12 = 2 -4n = 2 Divide each side by '-4'. n = -0.5 Simplifying n = -0.5
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