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Simplifying 3(d + 2) = -3d + -12 Reorder the terms: 3(2 + d) = -3d + -12 (2 * 3 + d * 3) = -3d + -12 (6 + 3d) = -3d + -12 Reorder the terms: 6 + 3d = -12 + -3d Solving 6 + 3d = -12 + -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. 6 + 3d + 3d = -12 + -3d + 3d Combine like terms: 3d + 3d = 6d 6 + 6d = -12 + -3d + 3d Combine like terms: -3d + 3d = 0 6 + 6d = -12 + 0 6 + 6d = -12 Add '-6' to each side of the equation. 6 + -6 + 6d = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6d = -12 + -6 6d = -12 + -6 Combine like terms: -12 + -6 = -18 6d = -18 Divide each side by '6'. d = -3 Simplifying d = -3
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