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Simplifying 3(6d + 3) = 18 + -3(16 + -3d) Reorder the terms: 3(3 + 6d) = 18 + -3(16 + -3d) (3 * 3 + 6d * 3) = 18 + -3(16 + -3d) (9 + 18d) = 18 + -3(16 + -3d) 9 + 18d = 18 + (16 * -3 + -3d * -3) 9 + 18d = 18 + (-48 + 9d) Combine like terms: 18 + -48 = -30 9 + 18d = -30 + 9d Solving 9 + 18d = -30 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 9 + 18d + -9d = -30 + 9d + -9d Combine like terms: 18d + -9d = 9d 9 + 9d = -30 + 9d + -9d Combine like terms: 9d + -9d = 0 9 + 9d = -30 + 0 9 + 9d = -30 Add '-9' to each side of the equation. 9 + -9 + 9d = -30 + -9 Combine like terms: 9 + -9 = 0 0 + 9d = -30 + -9 9d = -30 + -9 Combine like terms: -30 + -9 = -39 9d = -39 Divide each side by '9'. d = -4.333333333 Simplifying d = -4.333333333
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