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Simplifying 10d + 25(11 + -1d) = 170 10d + (11 * 25 + -1d * 25) = 170 10d + (275 + -25d) = 170 Reorder the terms: 275 + 10d + -25d = 170 Combine like terms: 10d + -25d = -15d 275 + -15d = 170 Solving 275 + -15d = 170 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-275' to each side of the equation. 275 + -275 + -15d = 170 + -275 Combine like terms: 275 + -275 = 0 0 + -15d = 170 + -275 -15d = 170 + -275 Combine like terms: 170 + -275 = -105 -15d = -105 Divide each side by '-15'. d = 7 Simplifying d = 7
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