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Simplifying 8(2d + -4) + -3(7d + 8) = -5(d + 2) Reorder the terms: 8(-4 + 2d) + -3(7d + 8) = -5(d + 2) (-4 * 8 + 2d * 8) + -3(7d + 8) = -5(d + 2) (-32 + 16d) + -3(7d + 8) = -5(d + 2) Reorder the terms: -32 + 16d + -3(8 + 7d) = -5(d + 2) -32 + 16d + (8 * -3 + 7d * -3) = -5(d + 2) -32 + 16d + (-24 + -21d) = -5(d + 2) Reorder the terms: -32 + -24 + 16d + -21d = -5(d + 2) Combine like terms: -32 + -24 = -56 -56 + 16d + -21d = -5(d + 2) Combine like terms: 16d + -21d = -5d -56 + -5d = -5(d + 2) Reorder the terms: -56 + -5d = -5(2 + d) -56 + -5d = (2 * -5 + d * -5) -56 + -5d = (-10 + -5d) Add '5d' to each side of the equation. -56 + -5d + 5d = -10 + -5d + 5d Combine like terms: -5d + 5d = 0 -56 + 0 = -10 + -5d + 5d -56 = -10 + -5d + 5d Combine like terms: -5d + 5d = 0 -56 = -10 + 0 -56 = -10 Solving -56 = -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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