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Simplifying 10d + 25(50 + -1d) = 770 10d + (50 * 25 + -1d * 25) = 770 10d + (1250 + -25d) = 770 Reorder the terms: 1250 + 10d + -25d = 770 Combine like terms: 10d + -25d = -15d 1250 + -15d = 770 Solving 1250 + -15d = 770 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1250' to each side of the equation. 1250 + -1250 + -15d = 770 + -1250 Combine like terms: 1250 + -1250 = 0 0 + -15d = 770 + -1250 -15d = 770 + -1250 Combine like terms: 770 + -1250 = -480 -15d = -480 Divide each side by '-15'. d = 32 Simplifying d = 32
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