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Simplifying 2(1 + n) + -4(n + 7) = -40 (1 * 2 + n * 2) + -4(n + 7) = -40 (2 + 2n) + -4(n + 7) = -40 Reorder the terms: 2 + 2n + -4(7 + n) = -40 2 + 2n + (7 * -4 + n * -4) = -40 2 + 2n + (-28 + -4n) = -40 Reorder the terms: 2 + -28 + 2n + -4n = -40 Combine like terms: 2 + -28 = -26 -26 + 2n + -4n = -40 Combine like terms: 2n + -4n = -2n -26 + -2n = -40 Solving -26 + -2n = -40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -2n = -40 + 26 Combine like terms: -26 + 26 = 0 0 + -2n = -40 + 26 -2n = -40 + 26 Combine like terms: -40 + 26 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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