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Simplifying 5(3 + -5d) + 10 = -50 (3 * 5 + -5d * 5) + 10 = -50 (15 + -25d) + 10 = -50 Reorder the terms: 15 + 10 + -25d = -50 Combine like terms: 15 + 10 = 25 25 + -25d = -50 Solving 25 + -25d = -50 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -25d = -50 + -25 Combine like terms: 25 + -25 = 0 0 + -25d = -50 + -25 -25d = -50 + -25 Combine like terms: -50 + -25 = -75 -25d = -75 Divide each side by '-25'. d = 3 Simplifying d = 3
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