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Simplifying 3d + 8 = -4(3 + -2d) Reorder the terms: 8 + 3d = -4(3 + -2d) 8 + 3d = (3 * -4 + -2d * -4) 8 + 3d = (-12 + 8d) Solving 8 + 3d = -12 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 8 + 3d + -8d = -12 + 8d + -8d Combine like terms: 3d + -8d = -5d 8 + -5d = -12 + 8d + -8d Combine like terms: 8d + -8d = 0 8 + -5d = -12 + 0 8 + -5d = -12 Add '-8' to each side of the equation. 8 + -8 + -5d = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5d = -12 + -8 -5d = -12 + -8 Combine like terms: -12 + -8 = -20 -5d = -20 Divide each side by '-5'. d = 4 Simplifying d = 4
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