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Simplifying 5d + -2(3 + -1d) = 4(2d + -3) + -1d 5d + (3 * -2 + -1d * -2) = 4(2d + -3) + -1d 5d + (-6 + 2d) = 4(2d + -3) + -1d Reorder the terms: -6 + 5d + 2d = 4(2d + -3) + -1d Combine like terms: 5d + 2d = 7d -6 + 7d = 4(2d + -3) + -1d Reorder the terms: -6 + 7d = 4(-3 + 2d) + -1d -6 + 7d = (-3 * 4 + 2d * 4) + -1d -6 + 7d = (-12 + 8d) + -1d Combine like terms: 8d + -1d = 7d -6 + 7d = -12 + 7d Add '-7d' to each side of the equation. -6 + 7d + -7d = -12 + 7d + -7d Combine like terms: 7d + -7d = 0 -6 + 0 = -12 + 7d + -7d -6 = -12 + 7d + -7d Combine like terms: 7d + -7d = 0 -6 = -12 + 0 -6 = -12 Solving -6 = -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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