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Simplifying 2(d + 12) = -6 + -4d Reorder the terms: 2(12 + d) = -6 + -4d (12 * 2 + d * 2) = -6 + -4d (24 + 2d) = -6 + -4d Solving 24 + 2d = -6 + -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. 24 + 2d + 4d = -6 + -4d + 4d Combine like terms: 2d + 4d = 6d 24 + 6d = -6 + -4d + 4d Combine like terms: -4d + 4d = 0 24 + 6d = -6 + 0 24 + 6d = -6 Add '-24' to each side of the equation. 24 + -24 + 6d = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 6d = -6 + -24 6d = -6 + -24 Combine like terms: -6 + -24 = -30 6d = -30 Divide each side by '6'. d = -5 Simplifying d = -5
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