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Simplifying 5(20 + -1d) = 3(2d + -7) (20 * 5 + -1d * 5) = 3(2d + -7) (100 + -5d) = 3(2d + -7) Reorder the terms: 100 + -5d = 3(-7 + 2d) 100 + -5d = (-7 * 3 + 2d * 3) 100 + -5d = (-21 + 6d) Solving 100 + -5d = -21 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 100 + -5d + -6d = -21 + 6d + -6d Combine like terms: -5d + -6d = -11d 100 + -11d = -21 + 6d + -6d Combine like terms: 6d + -6d = 0 100 + -11d = -21 + 0 100 + -11d = -21 Add '-100' to each side of the equation. 100 + -100 + -11d = -21 + -100 Combine like terms: 100 + -100 = 0 0 + -11d = -21 + -100 -11d = -21 + -100 Combine like terms: -21 + -100 = -121 -11d = -121 Divide each side by '-11'. d = 11 Simplifying d = 11
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