Answer :
Final answer:
The sentence '193 reduced by v is the same as 342' is translated into the equation '193 - v = 342'. In mathematics, the term 'reduced by' generally signifies subtraction. To solve for 'v', subtract 193 from both sides of the equation, yielding 'v = -149'.
Explanation:
The sentence given can be translated into a mathematical equation as follows: 193 - v = 342.
When we come across phrases like 'reduced by' in the context of mathematical problems, they generally denote subtraction. So when you read '193 reduced by v', this means that 'v' is being subtracted from 193. The phrase 'is the same as' usually signifies equality, or the equals sign (=) in an equation. So when the sentence says 'is the same as 342', it means the expression on the left side '193 reduced by v' equals 342, which completes the equation.
Now mathematically, to find the value of 'v', you would rearrange the equation to get 'v' on one side. To do this, we subtract 193 from both sides of the equation, yielding the direct answer that v = 193 - 342 = -149 (assuming v is a variable and not necessarily a positive quantity).
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