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Simplifying 8(d + 6) = 3(d + -7) + 5d Reorder the terms: 8(6 + d) = 3(d + -7) + 5d (6 * 8 + d * 8) = 3(d + -7) + 5d (48 + 8d) = 3(d + -7) + 5d Reorder the terms: 48 + 8d = 3(-7 + d) + 5d 48 + 8d = (-7 * 3 + d * 3) + 5d 48 + 8d = (-21 + 3d) + 5d Combine like terms: 3d + 5d = 8d 48 + 8d = -21 + 8d Add '-8d' to each side of the equation. 48 + 8d + -8d = -21 + 8d + -8d Combine like terms: 8d + -8d = 0 48 + 0 = -21 + 8d + -8d 48 = -21 + 8d + -8d Combine like terms: 8d + -8d = 0 48 = -21 + 0 48 = -21 Solving 48 = -21 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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