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Simplifying 5d + 4 = 8d + -3(4d + -2) Reorder the terms: 4 + 5d = 8d + -3(4d + -2) Reorder the terms: 4 + 5d = 8d + -3(-2 + 4d) 4 + 5d = 8d + (-2 * -3 + 4d * -3) 4 + 5d = 8d + (6 + -12d) Reorder the terms: 4 + 5d = 6 + 8d + -12d Combine like terms: 8d + -12d = -4d 4 + 5d = 6 + -4d Solving 4 + 5d = 6 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 4 + 5d + 4d = 6 + -4d + 4d Combine like terms: 5d + 4d = 9d 4 + 9d = 6 + -4d + 4d Combine like terms: -4d + 4d = 0 4 + 9d = 6 + 0 4 + 9d = 6 Add '-4' to each side of the equation. 4 + -4 + 9d = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 9d = 6 + -4 9d = 6 + -4 Combine like terms: 6 + -4 = 2 9d = 2 Divide each side by '9'. d = 0.2222222222 Simplifying d = 0.2222222222
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