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Simplifying 4(d + 5) = 3(5d + -8) Reorder the terms: 4(5 + d) = 3(5d + -8) (5 * 4 + d * 4) = 3(5d + -8) (20 + 4d) = 3(5d + -8) Reorder the terms: 20 + 4d = 3(-8 + 5d) 20 + 4d = (-8 * 3 + 5d * 3) 20 + 4d = (-24 + 15d) Solving 20 + 4d = -24 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 20 + 4d + -15d = -24 + 15d + -15d Combine like terms: 4d + -15d = -11d 20 + -11d = -24 + 15d + -15d Combine like terms: 15d + -15d = 0 20 + -11d = -24 + 0 20 + -11d = -24 Add '-20' to each side of the equation. 20 + -20 + -11d = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -11d = -24 + -20 -11d = -24 + -20 Combine like terms: -24 + -20 = -44 -11d = -44 Divide each side by '-11'. d = 4 Simplifying d = 4
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