Solve: \( w+13.5=11.6 \)
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The Deep Dive
To solve the equation \( w + 13.5 = 11.6 \), you'll want to isolate \( w \). Subtract \( 13.5 \) from both sides: \[ w + 13.5 - 13.5 = 11.6 - 13.5 \] This simplifies to: \[ w = 11.6 - 13.5 \] Calculating the right side gives: \[ w = -1.9 \] So, the solution is \( w = -1.9 \). Now, let’s break it down: Remember, when you’re solving for a variable, moving terms from one side of an equation to the other requires balancing the equation—just like a scale! Oh, and a common mistake people make is forgetting to change the sign when they move terms across the equals sign. So, be careful and keep your signs straight!