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Simplifying 117 = 6d + 3(5d + 4) Reorder the terms: 117 = 6d + 3(4 + 5d) 117 = 6d + (4 * 3 + 5d * 3) 117 = 6d + (12 + 15d) Reorder the terms: 117 = 12 + 6d + 15d Combine like terms: 6d + 15d = 21d 117 = 12 + 21d Solving 117 = 12 + 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. 117 + -21d = 12 + 21d + -21d Combine like terms: 21d + -21d = 0 117 + -21d = 12 + 0 117 + -21d = 12 Add '-117' to each side of the equation. 117 + -117 + -21d = 12 + -117 Combine like terms: 117 + -117 = 0 0 + -21d = 12 + -117 -21d = 12 + -117 Combine like terms: 12 + -117 = -105 -21d = -105 Divide each side by '-21'. d = 5 Simplifying d = 5
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