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Simplifying -5(4d + -20) = 2 + -13d Reorder the terms: -5(-20 + 4d) = 2 + -13d (-20 * -5 + 4d * -5) = 2 + -13d (100 + -20d) = 2 + -13d Solving 100 + -20d = 2 + -13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13d' to each side of the equation. 100 + -20d + 13d = 2 + -13d + 13d Combine like terms: -20d + 13d = -7d 100 + -7d = 2 + -13d + 13d Combine like terms: -13d + 13d = 0 100 + -7d = 2 + 0 100 + -7d = 2 Add '-100' to each side of the equation. 100 + -100 + -7d = 2 + -100 Combine like terms: 100 + -100 = 0 0 + -7d = 2 + -100 -7d = 2 + -100 Combine like terms: 2 + -100 = -98 -7d = -98 Divide each side by '-7'. d = 14 Simplifying d = 14
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