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Simplifying 12(d + 5) = 3(d + -4) + 9d Reorder the terms: 12(5 + d) = 3(d + -4) + 9d (5 * 12 + d * 12) = 3(d + -4) + 9d (60 + 12d) = 3(d + -4) + 9d Reorder the terms: 60 + 12d = 3(-4 + d) + 9d 60 + 12d = (-4 * 3 + d * 3) + 9d 60 + 12d = (-12 + 3d) + 9d Combine like terms: 3d + 9d = 12d 60 + 12d = -12 + 12d Add '-12d' to each side of the equation. 60 + 12d + -12d = -12 + 12d + -12d Combine like terms: 12d + -12d = 0 60 + 0 = -12 + 12d + -12d 60 = -12 + 12d + -12d Combine like terms: 12d + -12d = 0 60 = -12 + 0 60 = -12 Solving 60 = -12 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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