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Simplifying -5 + 5(3 + -7d) + 5d = -20 -5 + (3 * 5 + -7d * 5) + 5d = -20 -5 + (15 + -35d) + 5d = -20 Combine like terms: -5 + 15 = 10 10 + -35d + 5d = -20 Combine like terms: -35d + 5d = -30d 10 + -30d = -20 Solving 10 + -30d = -20 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -30d = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -30d = -20 + -10 -30d = -20 + -10 Combine like terms: -20 + -10 = -30 -30d = -30 Divide each side by '-30'. d = 1 Simplifying d = 1
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