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