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Simplifying 6(3d + 3) = 3(4d + -4) Reorder the terms: 6(3 + 3d) = 3(4d + -4) (3 * 6 + 3d * 6) = 3(4d + -4) (18 + 18d) = 3(4d + -4) Reorder the terms: 18 + 18d = 3(-4 + 4d) 18 + 18d = (-4 * 3 + 4d * 3) 18 + 18d = (-12 + 12d) Solving 18 + 18d = -12 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 18 + 18d + -12d = -12 + 12d + -12d Combine like terms: 18d + -12d = 6d 18 + 6d = -12 + 12d + -12d Combine like terms: 12d + -12d = 0 18 + 6d = -12 + 0 18 + 6d = -12 Add '-18' to each side of the equation. 18 + -18 + 6d = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 6d = -12 + -18 6d = -12 + -18 Combine like terms: -12 + -18 = -30 6d = -30 Divide each side by '6'. d = -5 Simplifying d = -5
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