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Simplifying 2(d + 12) = 7d + 4 Reorder the terms: 2(12 + d) = 7d + 4 (12 * 2 + d * 2) = 7d + 4 (24 + 2d) = 7d + 4 Reorder the terms: 24 + 2d = 4 + 7d Solving 24 + 2d = 4 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 24 + 2d + -7d = 4 + 7d + -7d Combine like terms: 2d + -7d = -5d 24 + -5d = 4 + 7d + -7d Combine like terms: 7d + -7d = 0 24 + -5d = 4 + 0 24 + -5d = 4 Add '-24' to each side of the equation. 24 + -24 + -5d = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -5d = 4 + -24 -5d = 4 + -24 Combine like terms: 4 + -24 = -20 -5d = -20 Divide each side by '-5'. d = 4 Simplifying d = 4
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