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Simplifying 4 + 12d = -2(6 + -4d) 4 + 12d = (6 * -2 + -4d * -2) 4 + 12d = (-12 + 8d) Solving 4 + 12d = -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. 4 + 12d + -8d = -12 + 8d + -8d Combine like terms: 12d + -8d = 4d 4 + 4d = -12 + 8d + -8d Combine like terms: 8d + -8d = 0 4 + 4d = -12 + 0 4 + 4d = -12 Add '-4' to each side of the equation. 4 + -4 + 4d = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 4d = -12 + -4 4d = -12 + -4 Combine like terms: -12 + -4 = -16 4d = -16 Divide each side by '4'. d = -4 Simplifying d = -4
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