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Simplifying -5(-6 + -3d) = 3(8 + 7d) (-6 * -5 + -3d * -5) = 3(8 + 7d) (30 + 15d) = 3(8 + 7d) 30 + 15d = (8 * 3 + 7d * 3) 30 + 15d = (24 + 21d) Solving 30 + 15d = 24 + 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. 30 + 15d + -21d = 24 + 21d + -21d Combine like terms: 15d + -21d = -6d 30 + -6d = 24 + 21d + -21d Combine like terms: 21d + -21d = 0 30 + -6d = 24 + 0 30 + -6d = 24 Add '-30' to each side of the equation. 30 + -30 + -6d = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -6d = 24 + -30 -6d = 24 + -30 Combine like terms: 24 + -30 = -6 -6d = -6 Divide each side by '-6'. d = 1 Simplifying d = 1
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