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Simplifying -3(-4n + -4) + 2(2 + n) = -40 Reorder the terms: -3(-4 + -4n) + 2(2 + n) = -40 (-4 * -3 + -4n * -3) + 2(2 + n) = -40 (12 + 12n) + 2(2 + n) = -40 12 + 12n + (2 * 2 + n * 2) = -40 12 + 12n + (4 + 2n) = -40 Reorder the terms: 12 + 4 + 12n + 2n = -40 Combine like terms: 12 + 4 = 16 16 + 12n + 2n = -40 Combine like terms: 12n + 2n = 14n 16 + 14n = -40 Solving 16 + 14n = -40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 14n = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 14n = -40 + -16 14n = -40 + -16 Combine like terms: -40 + -16 = -56 14n = -56 Divide each side by '14'. n = -4 Simplifying n = -4
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