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Simplifying 8d + -3(2d + -4) = 3(2d + -4) * 4 + -1d Reorder the terms: 8d + -3(-4 + 2d) = 3(2d + -4) * 4 + -1d 8d + (-4 * -3 + 2d * -3) = 3(2d + -4) * 4 + -1d 8d + (12 + -6d) = 3(2d + -4) * 4 + -1d Reorder the terms: 12 + 8d + -6d = 3(2d + -4) * 4 + -1d Combine like terms: 8d + -6d = 2d 12 + 2d = 3(2d + -4) * 4 + -1d Reorder the terms: 12 + 2d = 3(-4 + 2d) * 4 + -1d Reorder the terms for easier multiplication: 12 + 2d = 3 * 4(-4 + 2d) + -1d Multiply 3 * 4 12 + 2d = 12(-4 + 2d) + -1d 12 + 2d = (-4 * 12 + 2d * 12) + -1d 12 + 2d = (-48 + 24d) + -1d Combine like terms: 24d + -1d = 23d 12 + 2d = -48 + 23d Solving 12 + 2d = -48 + 23d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-23d' to each side of the equation. 12 + 2d + -23d = -48 + 23d + -23d Combine like terms: 2d + -23d = -21d 12 + -21d = -48 + 23d + -23d Combine like terms: 23d + -23d = 0 12 + -21d = -48 + 0 12 + -21d = -48 Add '-12' to each side of the equation. 12 + -12 + -21d = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -21d = -48 + -12 -21d = -48 + -12 Combine like terms: -48 + -12 = -60 -21d = -60 Divide each side by '-21'. d = 2.857142857 Simplifying d = 2.857142857
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