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Simplifying -18 + 40(4n + 1) = 40(4n + -27) Reorder the terms: -18 + 40(1 + 4n) = 40(4n + -27) -18 + (1 * 40 + 4n * 40) = 40(4n + -27) -18 + (40 + 160n) = 40(4n + -27) Combine like terms: -18 + 40 = 22 22 + 160n = 40(4n + -27) Reorder the terms: 22 + 160n = 40(-27 + 4n) 22 + 160n = (-27 * 40 + 4n * 40) 22 + 160n = (-1080 + 160n) Add '-160n' to each side of the equation. 22 + 160n + -160n = -1080 + 160n + -160n Combine like terms: 160n + -160n = 0 22 + 0 = -1080 + 160n + -160n 22 = -1080 + 160n + -160n Combine like terms: 160n + -160n = 0 22 = -1080 + 0 22 = -1080 Solving 22 = -1080 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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