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Simplifying 7(d + 3) = 3(d + -7) + 4d Reorder the terms: 7(3 + d) = 3(d + -7) + 4d (3 * 7 + d * 7) = 3(d + -7) + 4d (21 + 7d) = 3(d + -7) + 4d Reorder the terms: 21 + 7d = 3(-7 + d) + 4d 21 + 7d = (-7 * 3 + d * 3) + 4d 21 + 7d = (-21 + 3d) + 4d Combine like terms: 3d + 4d = 7d 21 + 7d = -21 + 7d Add '-7d' to each side of the equation. 21 + 7d + -7d = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 21 + 0 = -21 + 7d + -7d 21 = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 21 = -21 + 0 21 = -21 Solving 21 = -21 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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