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Simplifying 15d + -5(4d + -7) = 10 Reorder the terms: 15d + -5(-7 + 4d) = 10 15d + (-7 * -5 + 4d * -5) = 10 15d + (35 + -20d) = 10 Reorder the terms: 35 + 15d + -20d = 10 Combine like terms: 15d + -20d = -5d 35 + -5d = 10 Solving 35 + -5d = 10 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -5d = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -5d = 10 + -35 -5d = 10 + -35 Combine like terms: 10 + -35 = -25 -5d = -25 Divide each side by '-5'. d = 5 Simplifying d = 5
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