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Simplifying 3(4d + -2) = 8d + -5 Reorder the terms: 3(-2 + 4d) = 8d + -5 (-2 * 3 + 4d * 3) = 8d + -5 (-6 + 12d) = 8d + -5 Reorder the terms: -6 + 12d = -5 + 8d Solving -6 + 12d = -5 + 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. -6 + 12d + -8d = -5 + 8d + -8d Combine like terms: 12d + -8d = 4d -6 + 4d = -5 + 8d + -8d Combine like terms: 8d + -8d = 0 -6 + 4d = -5 + 0 -6 + 4d = -5 Add '6' to each side of the equation. -6 + 6 + 4d = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 4d = -5 + 6 4d = -5 + 6 Combine like terms: -5 + 6 = 1 4d = 1 Divide each side by '4'. d = 0.25 Simplifying d = 0.25
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