Solve for $g$.
$\frac{g+5.23}{-2}=-0.21$
Answer (2)
Multiply both sides of the equation by − 2 : g + 5.23 = 0.42 .
Subtract 5.23 from both sides: g = 0.42 − 5.23 .
Calculate the value of g : g = − 4.81 .
The solution is − 4.81 .
Explanation
Understanding the Problem We are given the equation − 2 g + 5.23 = − 0.21 and we want to solve for g .
Multiplying by -2 First, we multiply both sides of the equation by − 2 to isolate the term g + 5.23 on the left side: ( − 2 g + 5.23 ) × ( − 2 ) = − 0.21 × ( − 2 ) g + 5.23 = 0.42
Subtracting 5.23 Next, we subtract 5.23 from both sides of the equation to isolate g : g + 5.23 − 5.23 = 0.42 − 5.23 g = 0.42 − 5.23
Calculating g Finally, we perform the subtraction to find the value of g : g = − 4.81
Final Answer Therefore, the solution is g = − 4.81 .
Examples
Imagine you're adjusting a recipe. The original recipe calls for a certain amount of an ingredient, but you want to scale it down. This problem is similar to figuring out how much of the ingredient you need to achieve the desired taste or consistency. By adjusting the quantities using algebraic equations, you can ensure that the final dish turns out perfectly, even with the modified amounts. This is also applicable in scenarios such as adjusting financial budgets or modifying experimental parameters in science.
To solve the equation − 2 g + 5.23 = − 0.21 , we multiply both sides by − 2 to get g + 5.23 = 0.42 . Then, we subtract 5.23 from both sides, yielding g = − 4.81 . Therefore, the solution is g = − 4.81 .
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