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Simplifying 6(3d + 4) = 8d + -5(4 + -2d) Reorder the terms: 6(4 + 3d) = 8d + -5(4 + -2d) (4 * 6 + 3d * 6) = 8d + -5(4 + -2d) (24 + 18d) = 8d + -5(4 + -2d) 24 + 18d = 8d + (4 * -5 + -2d * -5) 24 + 18d = 8d + (-20 + 10d) Reorder the terms: 24 + 18d = -20 + 8d + 10d Combine like terms: 8d + 10d = 18d 24 + 18d = -20 + 18d Add '-18d' to each side of the equation. 24 + 18d + -18d = -20 + 18d + -18d Combine like terms: 18d + -18d = 0 24 + 0 = -20 + 18d + -18d 24 = -20 + 18d + -18d Combine like terms: 18d + -18d = 0 24 = -20 + 0 24 = -20 Solving 24 = -20 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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