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Simplifying 2(d + 3) = 4d + -12 Reorder the terms: 2(3 + d) = 4d + -12 (3 * 2 + d * 2) = 4d + -12 (6 + 2d) = 4d + -12 Reorder the terms: 6 + 2d = -12 + 4d Solving 6 + 2d = -12 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 6 + 2d + -4d = -12 + 4d + -4d Combine like terms: 2d + -4d = -2d 6 + -2d = -12 + 4d + -4d Combine like terms: 4d + -4d = 0 6 + -2d = -12 + 0 6 + -2d = -12 Add '-6' to each side of the equation. 6 + -6 + -2d = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -2d = -12 + -6 -2d = -12 + -6 Combine like terms: -12 + -6 = -18 -2d = -18 Divide each side by '-2'. d = 9 Simplifying d = 9
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