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Simplifying 17(d + -56) = 10(d + -63) Reorder the terms: 17(-56 + d) = 10(d + -63) (-56 * 17 + d * 17) = 10(d + -63) (-952 + 17d) = 10(d + -63) Reorder the terms: -952 + 17d = 10(-63 + d) -952 + 17d = (-63 * 10 + d * 10) -952 + 17d = (-630 + 10d) Solving -952 + 17d = -630 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -952 + 17d + -10d = -630 + 10d + -10d Combine like terms: 17d + -10d = 7d -952 + 7d = -630 + 10d + -10d Combine like terms: 10d + -10d = 0 -952 + 7d = -630 + 0 -952 + 7d = -630 Add '952' to each side of the equation. -952 + 952 + 7d = -630 + 952 Combine like terms: -952 + 952 = 0 0 + 7d = -630 + 952 7d = -630 + 952 Combine like terms: -630 + 952 = 322 7d = 322 Divide each side by '7'. d = 46 Simplifying d = 46
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