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Find the value of w. 15-(w)/(6)=22

Find the value of ww.\newline15−w6=22 15-\frac{w}{6}=22

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Full solution

Q. Find the value of ww.\newline15−w6=22 15-\frac{w}{6}=22
  1. Identify Goal: Identify the goal of the problem. We need to solve for ww in the equation 15−w6=2215 - \frac{w}{6} = 22.
  2. Isolate Term: Isolate the term containing ww on one side of the equation. To do this, we can subtract 1515 from both sides of the equation to get −(w6)=22−15-\left(\frac{w}{6}\right) = 22 - 15.
  3. Perform Subtraction: Perform the subtraction on the right side of the equation. 22−1522 - 15 equals 77, so the equation now reads −(w/6)=7- (w/6) = 7.
  4. Get Rid of Negative Sign: To solve for ww, we need to get rid of the negative sign and the division by 66. We can multiply both sides of the equation by −6-6 to do this. −6×−(w6)=7×−6-6 \times - (\frac{w}{6}) = 7 \times -6.
  5. Perform Multiplication: Perform the multiplication on both sides of the equation. The left side simplifies to ww because −6×−(16)-6 \times - \left(\frac{1}{6}\right) equals 11, and the right side becomes −42-42 because 7×−67 \times -6 equals −42-42. So, w=−42w = -42.

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