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Simplifying 20d + 27 = -12d + 4(8d + -4) Reorder the terms: 27 + 20d = -12d + 4(8d + -4) Reorder the terms: 27 + 20d = -12d + 4(-4 + 8d) 27 + 20d = -12d + (-4 * 4 + 8d * 4) 27 + 20d = -12d + (-16 + 32d) Reorder the terms: 27 + 20d = -16 + -12d + 32d Combine like terms: -12d + 32d = 20d 27 + 20d = -16 + 20d Add '-20d' to each side of the equation. 27 + 20d + -20d = -16 + 20d + -20d Combine like terms: 20d + -20d = 0 27 + 0 = -16 + 20d + -20d 27 = -16 + 20d + -20d Combine like terms: 20d + -20d = 0 27 = -16 + 0 27 = -16 Solving 27 = -16 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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