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Solve for ww.\newline4+34w=2+23w4 + \frac{3}{4}w = 2 + \frac{2}{3}w\newlineww = ____

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Full solution

Q. Solve for ww.\newline4+34w=2+23w4 + \frac{3}{4}w = 2 + \frac{2}{3}w\newlineww = ____
  1. Rearrange terms: First, let's get all the ww terms on one side and the constants on the other side.4+34w−23w=2−44 + \frac{3}{4}w - \frac{2}{3}w = 2 - 4Combining like terms:34w−23w=−2\frac{3}{4}w - \frac{2}{3}w = -2
  2. Find common denominator: Next, find a common denominator for the fractions involving ww, which is 1212. \newline(912)w−(812)w=−2(\frac{9}{12})w - (\frac{8}{12})w = -2\newlineSimplify the ww terms:\newline(112)w=−2(\frac{1}{12})w = -2
  3. Solve for w: Finally, solve for w by multiplying both sides by 1212 to clear the fraction.\newlinew=−2×12w = -2 \times 12\newlinew=−24w = -24

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