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Simplifying 3(d + 12) = (d + 3) * 4 Reorder the terms: 3(12 + d) = (d + 3) * 4 (12 * 3 + d * 3) = (d + 3) * 4 (36 + 3d) = (d + 3) * 4 Reorder the terms: 36 + 3d = (3 + d) * 4 Reorder the terms for easier multiplication: 36 + 3d = 4(3 + d) 36 + 3d = (3 * 4 + d * 4) 36 + 3d = (12 + 4d) Solving 36 + 3d = 12 + 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. 36 + 3d + -4d = 12 + 4d + -4d Combine like terms: 3d + -4d = -1d 36 + -1d = 12 + 4d + -4d Combine like terms: 4d + -4d = 0 36 + -1d = 12 + 0 36 + -1d = 12 Add '-36' to each side of the equation. 36 + -36 + -1d = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -1d = 12 + -36 -1d = 12 + -36 Combine like terms: 12 + -36 = -24 -1d = -24 Divide each side by '-1'. d = 24 Simplifying d = 24
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