Solve for w: 36 = -w/6. Simplify your answer as much as possible.
Understand the Problem
The question is asking to solve the equation for the variable w and to simplify the answer as much as possible.
Answer
$w = -216$
Answer for screen readers
The solution for $w$ is $-216$.
Steps to Solve
- Rewrite the Equation
Start with the given equation: $$ 36 = -\frac{w}{6} $$
- Eliminate the Fraction
To eliminate the fraction, multiply both sides of the equation by $-6$: $$ -6 \cdot 36 = w $$
- Calculate the Left Side
Calculate the value on the left: $$ w = -216 $$
The solution for $w$ is $-216$.
More Information
Solving linear equations like this one helps to develop skills in manipulating algebraic expressions. In this case, multiplying both sides by a negative integer helped to directly isolate the variable.
Tips
- Not multiplying both sides by the same number: It's crucial to perform the same operation on both sides to maintain equality.
- Incorrectly handling negative signs: Ensure that when manipulating negative signs, you carefully follow the rules of positive and negative numbers.
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