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Simplifying 2[d + 3] = d + 12 Reorder the terms: 2[3 + d] = d + 12 [3 * 2 + d * 2] = d + 12 [6 + 2d] = d + 12 Reorder the terms: 6 + 2d = 12 + d Solving 6 + 2d = 12 + 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 + 2d + -1d = 12 + d + -1d Combine like terms: 2d + -1d = 1d 6 + 1d = 12 + d + -1d Combine like terms: d + -1d = 0 6 + 1d = 12 + 0 6 + 1d = 12 Add '-6' to each side of the equation. 6 + -6 + 1d = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1d = 12 + -6 1d = 12 + -6 Combine like terms: 12 + -6 = 6 1d = 6 Divide each side by '1'. d = 6 Simplifying d = 6
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