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Simplifying -4(-4d + -5) = 5 + 21d Reorder the terms: -4(-5 + -4d) = 5 + 21d (-5 * -4 + -4d * -4) = 5 + 21d (20 + 16d) = 5 + 21d Solving 20 + 16d = 5 + 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. 20 + 16d + -21d = 5 + 21d + -21d Combine like terms: 16d + -21d = -5d 20 + -5d = 5 + 21d + -21d Combine like terms: 21d + -21d = 0 20 + -5d = 5 + 0 20 + -5d = 5 Add '-20' to each side of the equation. 20 + -20 + -5d = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -5d = 5 + -20 -5d = 5 + -20 Combine like terms: 5 + -20 = -15 -5d = -15 Divide each side by '-5'. d = 3 Simplifying d = 3
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