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Simplifying 3d + -7(3 + 2d) = 30 3d + (3 * -7 + 2d * -7) = 30 3d + (-21 + -14d) = 30 Reorder the terms: -21 + 3d + -14d = 30 Combine like terms: 3d + -14d = -11d -21 + -11d = 30 Solving -21 + -11d = 30 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -11d = 30 + 21 Combine like terms: -21 + 21 = 0 0 + -11d = 30 + 21 -11d = 30 + 21 Combine like terms: 30 + 21 = 51 -11d = 51 Divide each side by '-11'. d = -4.636363636 Simplifying d = -4.636363636
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