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Simplifying 6(1 + 7n) + -7(6n + -6) = 43 (1 * 6 + 7n * 6) + -7(6n + -6) = 43 (6 + 42n) + -7(6n + -6) = 43 Reorder the terms: 6 + 42n + -7(-6 + 6n) = 43 6 + 42n + (-6 * -7 + 6n * -7) = 43 6 + 42n + (42 + -42n) = 43 Reorder the terms: 6 + 42 + 42n + -42n = 43 Combine like terms: 6 + 42 = 48 48 + 42n + -42n = 43 Combine like terms: 42n + -42n = 0 48 + 0 = 43 48 = 43 Solving 48 = 43 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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