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Simplifying 20 + -8d = -7(3d + 5) Reorder the terms: 20 + -8d = -7(5 + 3d) 20 + -8d = (5 * -7 + 3d * -7) 20 + -8d = (-35 + -21d) Solving 20 + -8d = -35 + -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 + -8d + 21d = -35 + -21d + 21d Combine like terms: -8d + 21d = 13d 20 + 13d = -35 + -21d + 21d Combine like terms: -21d + 21d = 0 20 + 13d = -35 + 0 20 + 13d = -35 Add '-20' to each side of the equation. 20 + -20 + 13d = -35 + -20 Combine like terms: 20 + -20 = 0 0 + 13d = -35 + -20 13d = -35 + -20 Combine like terms: -35 + -20 = -55 13d = -55 Divide each side by '13'. d = -4.230769231 Simplifying d = -4.230769231
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