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Simplifying 13(d + 6) = 3(d + -8) + 10d Reorder the terms: 13(6 + d) = 3(d + -8) + 10d (6 * 13 + d * 13) = 3(d + -8) + 10d (78 + 13d) = 3(d + -8) + 10d Reorder the terms: 78 + 13d = 3(-8 + d) + 10d 78 + 13d = (-8 * 3 + d * 3) + 10d 78 + 13d = (-24 + 3d) + 10d Combine like terms: 3d + 10d = 13d 78 + 13d = -24 + 13d Add '-13d' to each side of the equation. 78 + 13d + -13d = -24 + 13d + -13d Combine like terms: 13d + -13d = 0 78 + 0 = -24 + 13d + -13d 78 = -24 + 13d + -13d Combine like terms: 13d + -13d = 0 78 = -24 + 0 78 = -24 Solving 78 = -24 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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