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Simplifying 3(4d + 2) = d + 28 Reorder the terms: 3(2 + 4d) = d + 28 (2 * 3 + 4d * 3) = d + 28 (6 + 12d) = d + 28 Reorder the terms: 6 + 12d = 28 + d Solving 6 + 12d = 28 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 6 + 12d + -1d = 28 + d + -1d Combine like terms: 12d + -1d = 11d 6 + 11d = 28 + d + -1d Combine like terms: d + -1d = 0 6 + 11d = 28 + 0 6 + 11d = 28 Add '-6' to each side of the equation. 6 + -6 + 11d = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 11d = 28 + -6 11d = 28 + -6 Combine like terms: 28 + -6 = 22 11d = 22 Divide each side by '11'. d = 2 Simplifying d = 2
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