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Simplifying 5d + -1(3d + 9) = 21 Reorder the terms: 5d + -1(9 + 3d) = 21 5d + (9 * -1 + 3d * -1) = 21 5d + (-9 + -3d) = 21 Reorder the terms: -9 + 5d + -3d = 21 Combine like terms: 5d + -3d = 2d -9 + 2d = 21 Solving -9 + 2d = 21 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 + 2d = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 2d = 21 + 9 2d = 21 + 9 Combine like terms: 21 + 9 = 30 2d = 30 Divide each side by '2'. d = 15 Simplifying d = 15
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