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Solve for 
q.

{:[(10)/(2q+8)=10],[q=]:}

Solve for q q .\newline102q+8=10q= \begin{array}{l} \frac{10}{2 q+8}=10 \\ q=\square \end{array}

Full solution

Q. Solve for q q .\newline102q+8=10q= \begin{array}{l} \frac{10}{2 q+8}=10 \\ q=\square \end{array}
  1. Write equation: Write down the given equation.\newline102q+8=10\frac{10}{2q+8} = 10
  2. Eliminate denominator: Multiply both sides of the equation by (2q+8)(2q+8) to eliminate the denominator.\newline102q+8×(2q+8)=10×(2q+8)\frac{10}{2q+8} \times (2q+8) = 10 \times (2q+8)
  3. Simplify equation: Simplify both sides of the equation.\newline10=20q+8010 = 20q + 80
  4. Isolate term with qq: Subtract 8080 from both sides of the equation to isolate the term with qq on one side.\newline1080=20q+808010 - 80 = 20q + 80 - 80
  5. Subtract and simplify: Simplify the equation after subtraction.\newline70=20q-70 = 20q
  6. Divide both sides: Divide both sides of the equation by 2020 to solve for qq.\newline70/20=20q/20-70 / 20 = 20q / 20
  7. Find value of q: Simplify the division to find the value of qq.q=3.5q = -3.5