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Simplifying 0 = 42 + -4(5d + -10) Reorder the terms: 0 = 42 + -4(-10 + 5d) 0 = 42 + (-10 * -4 + 5d * -4) 0 = 42 + (40 + -20d) Combine like terms: 42 + 40 = 82 0 = 82 + -20d Solving 0 = 82 + -20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20d' to each side of the equation. 0 + 20d = 82 + -20d + 20d Remove the zero: 20d = 82 + -20d + 20d Combine like terms: -20d + 20d = 0 20d = 82 + 0 20d = 82 Divide each side by '20'. d = 4.1 Simplifying d = 4.1
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