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Simplifying 54(3d + -2) = 8d + -5 Reorder the terms: 54(-2 + 3d) = 8d + -5 (-2 * 54 + 3d * 54) = 8d + -5 (-108 + 162d) = 8d + -5 Reorder the terms: -108 + 162d = -5 + 8d Solving -108 + 162d = -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. -108 + 162d + -8d = -5 + 8d + -8d Combine like terms: 162d + -8d = 154d -108 + 154d = -5 + 8d + -8d Combine like terms: 8d + -8d = 0 -108 + 154d = -5 + 0 -108 + 154d = -5 Add '108' to each side of the equation. -108 + 108 + 154d = -5 + 108 Combine like terms: -108 + 108 = 0 0 + 154d = -5 + 108 154d = -5 + 108 Combine like terms: -5 + 108 = 103 154d = 103 Divide each side by '154'. d = 0.6688311688 Simplifying d = 0.6688311688
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