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Simplifying 5(d + -7) = 7(2d + -5) Reorder the terms: 5(-7 + d) = 7(2d + -5) (-7 * 5 + d * 5) = 7(2d + -5) (-35 + 5d) = 7(2d + -5) Reorder the terms: -35 + 5d = 7(-5 + 2d) -35 + 5d = (-5 * 7 + 2d * 7) -35 + 5d = (-35 + 14d) Add '35' to each side of the equation. -35 + 35 + 5d = -35 + 35 + 14d Combine like terms: -35 + 35 = 0 0 + 5d = -35 + 35 + 14d 5d = -35 + 35 + 14d Combine like terms: -35 + 35 = 0 5d = 0 + 14d 5d = 14d Solving 5d = 14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14d' to each side of the equation. 5d + -14d = 14d + -14d Combine like terms: 5d + -14d = -9d -9d = 14d + -14d Combine like terms: 14d + -14d = 0 -9d = 0 Divide each side by '-9'. d = 0 Simplifying d = 0
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