tomework: HW2 Spring 2025 Question Parl 1 of 2 Translate the English statement into a mathematical statement. Then solve the equation. The difference between $$ w $$ and 36 equals five times $$ w $$. Translate. $$ \square $$ (Type an equation.)

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To translate the English statement "The difference between $$ w $$ and 36 equals five times $$ w $$" into a mathematical equation, we can break it down as follows:

1. "The difference between $$ w $$ and 36" can be expressed as $$ w - 36 $$.
2. "equals five times $$ w $$" can be expressed as $$ 5w $$.

Putting it all together, we have the equation:

$$
w - 36 = 5w
$$

Now, let's solve the equation step by step.

1. Start with the equation:
   $$
   w - 36 = 5w
   $$

2. To isolate $$ w $$, subtract $$ w $$ from both sides:
   $$
   -36 = 5w - w
   $$
   This simplifies to:
   $$
   -36 = 4w
   $$

3. Now, divide both sides by 4 to solve for $$ w $$:
   $$
   w = \frac{-36}{4}
   $$
   This simplifies to:
   $$
   w = -9
   $$

Thus, the solution to the equation is:

$$
w = -9
$$
$$ w - 36 = 5w $$ Solve for $$ w $$: $$ w = -9 $$

tomework: HW2 Spring 2025 Question Parl 1 of 2 Translate the English statement into a mathematical statement. Then solve the equation. The difference between \( w \) and 36 equals five times \( w \). Translate. \( \square \) (Type an equation.)

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