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Simplifying 3d + -1(9 + -3d) = 51 3d + (9 * -1 + -3d * -1) = 51 3d + (-9 + 3d) = 51 Reorder the terms: -9 + 3d + 3d = 51 Combine like terms: 3d + 3d = 6d -9 + 6d = 51 Solving -9 + 6d = 51 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6d = 51 + 9 Combine like terms: -9 + 9 = 0 0 + 6d = 51 + 9 6d = 51 + 9 Combine like terms: 51 + 9 = 60 6d = 60 Divide each side by '6'. d = 10 Simplifying d = 10
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