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Simplifying 12d + 9 = -38d + 5(10d + -10) Reorder the terms: 9 + 12d = -38d + 5(10d + -10) Reorder the terms: 9 + 12d = -38d + 5(-10 + 10d) 9 + 12d = -38d + (-10 * 5 + 10d * 5) 9 + 12d = -38d + (-50 + 50d) Reorder the terms: 9 + 12d = -50 + -38d + 50d Combine like terms: -38d + 50d = 12d 9 + 12d = -50 + 12d Add '-12d' to each side of the equation. 9 + 12d + -12d = -50 + 12d + -12d Combine like terms: 12d + -12d = 0 9 + 0 = -50 + 12d + -12d 9 = -50 + 12d + -12d Combine like terms: 12d + -12d = 0 9 = -50 + 0 9 = -50 Solving 9 = -50 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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