Solve for v: -14 = -8 + 3v
Understand the Problem
The question requires solving the linear equation -14 = -8 + 3v for the variable 'v'. This involves isolating 'v' by performing algebraic operations on both sides of the equation to find its value.
Answer
$v = -2$
Answer for screen readers
$v = -2$
Steps to Solve
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Add 8 to both sides of the equation To isolate the term with $v$, add 8 to both sides of the equation: $$ -14 + 8 = -8 + 3v + 8 $$
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Simplify both sides Simplify the equation by performing the addition: $$ -6 = 3v $$
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Divide both sides by 3 To solve for $v$, divide both sides of the equation by 3: $$ \frac{-6}{3} = \frac{3v}{3} $$
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Simplify to find v Simplify the equation: $$ -2 = v $$ So, $v = -2$.
$v = -2$
More Information
The value of $v$ that satisfies the equation $-14 = -8 + 3v$ is -2.
Tips
A common mistake is making errors with negative signs when adding or dividing. Remember to pay close attention to the signs when performing operations.
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