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Solve the equation. {:[(11)/(15)=w-(8)/(15)],[w=]:}

Solve the equation.\newline1115=w−815w=□ \begin{array}{l} \frac{11}{15}=w-\frac{8}{15} \\ w=\square \end{array}

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Full solution

Q. Solve the equation.\newline1115=w−815w=□ \begin{array}{l} \frac{11}{15}=w-\frac{8}{15} \\ w=\square \end{array}
  1. Write down equation: Write down the equation given.\newline(1115)=w−(815)(\frac{11}{15}) = w - (\frac{8}{15})\newlineWe need to solve for ww.
  2. Add to isolate w: Add (88/1515) to both sides of the equation to isolate w on one side.\newline(1111/1515) + (88/1515) = w - (88/1515) + (88/1515)
  3. Simplify equation: Simplify both sides of the equation.(1115)+(815)=w(\frac{11}{15}) + (\frac{8}{15}) = w(1915)=w(\frac{19}{15}) = w
  4. Final value of w: Write down the final value of ww.w=1915w = \frac{19}{15}

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