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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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