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The equation 5w + 3w = 4w + 9 is modeled below.
What value of w makes this equation true?
In order to find the value of w that makes the equation true, we can simplify both sides of the equation.
5w + 3w = 8w
4w + 9 = 4w + 9
Now we have:
8w = 4w + 9
To solve for w, we can subtract 4w from both sides:
8w - 4w = 4w + 9 - 4w
4w = 9
Finally, we can divide by 4 to isolate w:
w = 9/4
Therefore, the value of w that makes the equation true is w = 9/4 or w = 2.25.