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Simplifying 10(d + 7) = 2(d + -5) + 8d Reorder the terms: 10(7 + d) = 2(d + -5) + 8d (7 * 10 + d * 10) = 2(d + -5) + 8d (70 + 10d) = 2(d + -5) + 8d Reorder the terms: 70 + 10d = 2(-5 + d) + 8d 70 + 10d = (-5 * 2 + d * 2) + 8d 70 + 10d = (-10 + 2d) + 8d Combine like terms: 2d + 8d = 10d 70 + 10d = -10 + 10d Add '-10d' to each side of the equation. 70 + 10d + -10d = -10 + 10d + -10d Combine like terms: 10d + -10d = 0 70 + 0 = -10 + 10d + -10d 70 = -10 + 10d + -10d Combine like terms: 10d + -10d = 0 70 = -10 + 0 70 = -10 Solving 70 = -10 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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