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Simplifying 3d + 27 + 4d = -24 + 21d + 9 Reorder the terms: 27 + 3d + 4d = -24 + 21d + 9 Combine like terms: 3d + 4d = 7d 27 + 7d = -24 + 21d + 9 Reorder the terms: 27 + 7d = -24 + 9 + 21d Combine like terms: -24 + 9 = -15 27 + 7d = -15 + 21d Solving 27 + 7d = -15 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. 27 + 7d + -21d = -15 + 21d + -21d Combine like terms: 7d + -21d = -14d 27 + -14d = -15 + 21d + -21d Combine like terms: 21d + -21d = 0 27 + -14d = -15 + 0 27 + -14d = -15 Add '-27' to each side of the equation. 27 + -27 + -14d = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -14d = -15 + -27 -14d = -15 + -27 Combine like terms: -15 + -27 = -42 -14d = -42 Divide each side by '-14'. d = 3 Simplifying d = 3
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