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Simplifying 8d + -3(13 + 3d) = 4d 8d + (13 * -3 + 3d * -3) = 4d 8d + (-39 + -9d) = 4d Reorder the terms: -39 + 8d + -9d = 4d Combine like terms: 8d + -9d = -1d -39 + -1d = 4d Solving -39 + -1d = 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -39 + -1d + -4d = 4d + -4d Combine like terms: -1d + -4d = -5d -39 + -5d = 4d + -4d Combine like terms: 4d + -4d = 0 -39 + -5d = 0 Add '39' to each side of the equation. -39 + 39 + -5d = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -5d = 0 + 39 -5d = 0 + 39 Combine like terms: 0 + 39 = 39 -5d = 39 Divide each side by '-5'. d = -7.8 Simplifying d = -7.8
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