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Simplifying 6(d + 7) = 3(d + -2) + 3d Reorder the terms: 6(7 + d) = 3(d + -2) + 3d (7 * 6 + d * 6) = 3(d + -2) + 3d (42 + 6d) = 3(d + -2) + 3d Reorder the terms: 42 + 6d = 3(-2 + d) + 3d 42 + 6d = (-2 * 3 + d * 3) + 3d 42 + 6d = (-6 + 3d) + 3d Combine like terms: 3d + 3d = 6d 42 + 6d = -6 + 6d Add '-6d' to each side of the equation. 42 + 6d + -6d = -6 + 6d + -6d Combine like terms: 6d + -6d = 0 42 + 0 = -6 + 6d + -6d 42 = -6 + 6d + -6d Combine like terms: 6d + -6d = 0 42 = -6 + 0 42 = -6 Solving 42 = -6 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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