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Simplifying -7(1 + -7n) = 40 + 2n (1 * -7 + -7n * -7) = 40 + 2n (-7 + 49n) = 40 + 2n Solving -7 + 49n = 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. -7 + 49n + -2n = 40 + 2n + -2n Combine like terms: 49n + -2n = 47n -7 + 47n = 40 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 47n = 40 + 0 -7 + 47n = 40 Add '7' to each side of the equation. -7 + 7 + 47n = 40 + 7 Combine like terms: -7 + 7 = 0 0 + 47n = 40 + 7 47n = 40 + 7 Combine like terms: 40 + 7 = 47 47n = 47 Divide each side by '47'. n = 1 Simplifying n = 1
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