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Solve the equation.

{:[(d)/(4)=9],[d=]:}

Solve the equation.\newlined4=9d= \begin{array}{l} \frac{d}{4}=9 \\ d=\square \end{array}

Full solution

Q. Solve the equation.\newlined4=9d= \begin{array}{l} \frac{d}{4}=9 \\ d=\square \end{array}
  1. Understand the equation: Understand the equation.\newlineThe equation d4=9\frac{d}{4} = 9 means that dd divided by 44 equals 99. To find the value of dd, we need to isolate dd on one side of the equation.
  2. Multiply by 44: Multiply both sides of the equation by 44.\newlineTo isolate dd, we multiply both sides of the equation by 44, which is the inverse operation of division by 44.\newline(d4)4=94(\frac{d}{4}) \cdot 4 = 9 \cdot 4
  3. Simplify both sides: Simplify both sides of the equation.\newlineThe multiplication on the left side simplifies because (d4)×4=d(\frac{d}{4}) \times 4 = d, and on the right side, 9×4=369 \times 4 = 36.\newlined=36d = 36