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\( w = 29 \)
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The Deep Dive
To solve for \( w \) in the equation \( 43 = 7w - 15 - 5w \), start by combining like terms on the right side. This gives you: \[ 43 = (7w - 5w) - 15 \] Which simplifies to: \[ 43 = 2w - 15 \] Next, add 15 to both sides of the equation: \[ 43 + 15 = 2w \] This results in: \[ 58 = 2w \] Now, divide both sides by 2 to isolate \( w \): \[ w = 29 \] So, the solution to the equation is \( w = 29 \).
