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Simplifying -20 + -4d = -3(5d + -7) Reorder the terms: -20 + -4d = -3(-7 + 5d) -20 + -4d = (-7 * -3 + 5d * -3) -20 + -4d = (21 + -15d) Solving -20 + -4d = 21 + -15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15d' to each side of the equation. -20 + -4d + 15d = 21 + -15d + 15d Combine like terms: -4d + 15d = 11d -20 + 11d = 21 + -15d + 15d Combine like terms: -15d + 15d = 0 -20 + 11d = 21 + 0 -20 + 11d = 21 Add '20' to each side of the equation. -20 + 20 + 11d = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 11d = 21 + 20 11d = 21 + 20 Combine like terms: 21 + 20 = 41 11d = 41 Divide each side by '11'. d = 3.727272727 Simplifying d = 3.727272727
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