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Simplifying 4(3d + -2) = 8d + -5 Reorder the terms: 4(-2 + 3d) = 8d + -5 (-2 * 4 + 3d * 4) = 8d + -5 (-8 + 12d) = 8d + -5 Reorder the terms: -8 + 12d = -5 + 8d Solving -8 + 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. -8 + 12d + -8d = -5 + 8d + -8d Combine like terms: 12d + -8d = 4d -8 + 4d = -5 + 8d + -8d Combine like terms: 8d + -8d = 0 -8 + 4d = -5 + 0 -8 + 4d = -5 Add '8' to each side of the equation. -8 + 8 + 4d = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 4d = -5 + 8 4d = -5 + 8 Combine like terms: -5 + 8 = 3 4d = 3 Divide each side by '4'. d = 0.75 Simplifying d = 0.75
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