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Simplifying 23 + -1d = 2(d + -9) + -3(d + 2) Reorder the terms: 23 + -1d = 2(-9 + d) + -3(d + 2) 23 + -1d = (-9 * 2 + d * 2) + -3(d + 2) 23 + -1d = (-18 + 2d) + -3(d + 2) Reorder the terms: 23 + -1d = -18 + 2d + -3(2 + d) 23 + -1d = -18 + 2d + (2 * -3 + d * -3) 23 + -1d = -18 + 2d + (-6 + -3d) Reorder the terms: 23 + -1d = -18 + -6 + 2d + -3d Combine like terms: -18 + -6 = -24 23 + -1d = -24 + 2d + -3d Combine like terms: 2d + -3d = -1d 23 + -1d = -24 + -1d Add 'd' to each side of the equation. 23 + -1d + d = -24 + -1d + d Combine like terms: -1d + d = 0 23 + 0 = -24 + -1d + d 23 = -24 + -1d + d Combine like terms: -1d + d = 0 23 = -24 + 0 23 = -24 Solving 23 = -24 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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