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Solve for d: 10(-4d+11)=3d+8

Solve for dd: 10(−4d+11)=3d+810(-4d+11)=3d+8

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Full solution

Q. Solve for dd: 10(−4d+11)=3d+810(-4d+11)=3d+8
  1. Distribute Terms: Distribute 1010 to each term inside the parentheses.\newline10(−4d+11)=−40d+11010(-4d + 11) = -40d + 110
  2. Write Equation: Write the equation with the distributed terms.\newline−40d+110=3d+8-40d + 110 = 3d + 8
  3. Move D Terms: Move all dd terms to one side by adding 40d40d to both sides.\newline−40d+40d+110=3d+40d+8-40d + 40d + 110 = 3d + 40d + 8\newline−40d+40d=0-40d + 40d = 0, so the equation simplifies to:\newline110=43d+8110 = 43d + 8
  4. Isolate D: Isolate dd by subtracting 88 from both sides.\newline110−8=43d110 - 8 = 43d\newline102=43d102 = 43d
  5. Solve for D: Solve for dd by dividing both sides by 4343.10243=d\frac{102}{43} = dd≈2.372d \approx 2.372

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