Solve for \( w \). \[ w-4.15=3.76 \] \( w=\square \)
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To solve for \( w \), you need to isolate \( w \) on one side of the equation. Start by adding \( 4.15 \) to both sides: \[ w - 4.15 + 4.15 = 3.76 + 4.15 \] This simplifies to: \[ w = 3.76 + 4.15 \] Now, calculate the right side: \[ w = 7.91 \] So, the solution is \( w = 7.91 \). Now that you’ve solved for \( w \), keep in mind that this equation represents a basic linear equation, a common type in algebra. They serve as the stepping stones to more complex equations that involve variables and multi-step solutions. However, always remember to check your calculations to avoid common mistakes! A simple arithmetic error could lead you to an incorrect solution. It’s good practice to plug your answer back into the original equation to see if it holds true. In this case, substituting \( 7.91 \) back will yield \( 3.76 \) on the right side when simplified!