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Simplifying 7(6d + -8) = 24 + -2d Reorder the terms: 7(-8 + 6d) = 24 + -2d (-8 * 7 + 6d * 7) = 24 + -2d (-56 + 42d) = 24 + -2d Solving -56 + 42d = 24 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -56 + 42d + 2d = 24 + -2d + 2d Combine like terms: 42d + 2d = 44d -56 + 44d = 24 + -2d + 2d Combine like terms: -2d + 2d = 0 -56 + 44d = 24 + 0 -56 + 44d = 24 Add '56' to each side of the equation. -56 + 56 + 44d = 24 + 56 Combine like terms: -56 + 56 = 0 0 + 44d = 24 + 56 44d = 24 + 56 Combine like terms: 24 + 56 = 80 44d = 80 Divide each side by '44'. d = 1.818181818 Simplifying d = 1.818181818
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