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Simplifying -5(4d + -2) = 18 + -8d Reorder the terms: -5(-2 + 4d) = 18 + -8d (-2 * -5 + 4d * -5) = 18 + -8d (10 + -20d) = 18 + -8d Solving 10 + -20d = 18 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 10 + -20d + 8d = 18 + -8d + 8d Combine like terms: -20d + 8d = -12d 10 + -12d = 18 + -8d + 8d Combine like terms: -8d + 8d = 0 10 + -12d = 18 + 0 10 + -12d = 18 Add '-10' to each side of the equation. 10 + -10 + -12d = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -12d = 18 + -10 -12d = 18 + -10 Combine like terms: 18 + -10 = 8 -12d = 8 Divide each side by '-12'. d = -0.6666666667 Simplifying d = -0.6666666667
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