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Simplifying 13(d + 6) = 2(d + -7) + 11d Reorder the terms: 13(6 + d) = 2(d + -7) + 11d (6 * 13 + d * 13) = 2(d + -7) + 11d (78 + 13d) = 2(d + -7) + 11d Reorder the terms: 78 + 13d = 2(-7 + d) + 11d 78 + 13d = (-7 * 2 + d * 2) + 11d 78 + 13d = (-14 + 2d) + 11d Combine like terms: 2d + 11d = 13d 78 + 13d = -14 + 13d Add '-13d' to each side of the equation. 78 + 13d + -13d = -14 + 13d + -13d Combine like terms: 13d + -13d = 0 78 + 0 = -14 + 13d + -13d 78 = -14 + 13d + -13d Combine like terms: 13d + -13d = 0 78 = -14 + 0 78 = -14 Solving 78 = -14 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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