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Simplifying 4(4 + 2d) = 12d (4 * 4 + 2d * 4) = 12d (16 + 8d) = 12d Solving 16 + 8d = 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 16 + 8d + -12d = 12d + -12d Combine like terms: 8d + -12d = -4d 16 + -4d = 12d + -12d Combine like terms: 12d + -12d = 0 16 + -4d = 0 Add '-16' to each side of the equation. 16 + -16 + -4d = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4d = 0 + -16 -4d = 0 + -16 Combine like terms: 0 + -16 = -16 -4d = -16 Divide each side by '-4'. d = 4 Simplifying d = 4
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