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Simplifying 27 = 3(d + 12) Reorder the terms: 27 = 3(12 + d) 27 = (12 * 3 + d * 3) 27 = (36 + 3d) Solving 27 = 36 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 27 + -3d = 36 + 3d + -3d Combine like terms: 3d + -3d = 0 27 + -3d = 36 + 0 27 + -3d = 36 Add '-27' to each side of the equation. 27 + -27 + -3d = 36 + -27 Combine like terms: 27 + -27 = 0 0 + -3d = 36 + -27 -3d = 36 + -27 Combine like terms: 36 + -27 = 9 -3d = 9 Divide each side by '-3'. d = -3 Simplifying d = -3
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