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