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------------------------------------------------ Write the sentence as an equation.

76 is equal to 173 increased by the product of [tex] w [/tex] and 313.

Equation: [tex]\[ 76 = 173 + (w \times 313) \][/tex]

To translate the sentence "76 is equal to 173 increased by the product of w and 313" into an equation, follow these steps:

1. Understand the Structure:
- The phrase "76 is equal to" means we will set up our equation with 76 on the left side:
[tex]$76 =$[/tex]

2. Identify the Expression on the Other Side:
- "173 increased by" indicates that we start with 173 and will add something to it.

3. Identify the Product:
- "the product of w and 313" signifies multiplication. This means we multiply w by 313, which is written as [tex]$313 \times w$[/tex] or simply [tex]$313w$[/tex].

4. Put It All Together:
- Combine these parts to form the complete equation:
[tex]$76 = 173 + 313w$[/tex]

So, the sentence as an equation is:
[tex]\[ 76 = 173 + 313w \][/tex]