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Simplifying 7(1 + 7n) = 2n + -40 (1 * 7 + 7n * 7) = 2n + -40 (7 + 49n) = 2n + -40 Reorder the terms: 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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