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Simplifying -4(3 + 6n) = 2n + 40 (3 * -4 + 6n * -4) = 2n + 40 (-12 + -24n) = 2n + 40 Reorder the terms: -12 + -24n = 40 + 2n Solving -12 + -24n = 40 + 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 + -24n + -2n = 40 + 2n + -2n Combine like terms: -24n + -2n = -26n -12 + -26n = 40 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + -26n = 40 + 0 -12 + -26n = 40 Add '12' to each side of the equation. -12 + 12 + -26n = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -26n = 40 + 12 -26n = 40 + 12 Combine like terms: 40 + 12 = 52 -26n = 52 Divide each side by '-26'. n = -2 Simplifying n = -2
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