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$Solve for b. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -67 b+6 <= 9b+43$

Solve for $b$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $-67b + 6 \leq 9b + 43$

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Solve multi-step inequalities

Full solution

Q. Solve for

b

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-67b + 6 \leq 9b + 43

Isolate variable b: First, we need to isolate the variable $b$ on one side of the inequality. To do this, we will add $67b$ to both sides to move all the $b$ terms to the right side. $\newline$ $-67b + 6 + 67b \leq 9b + 43 + 67b$ $\newline$ This simplifies to: $\newline$ $6 \leq 76b + 43$
Subtract to isolate term: Next, we subtract $43$ from both sides to isolate the term with $b$ on the right side. $\newline$ $6 - 43 \leq 76b + 43 - 43$ $\newline$ This simplifies to: $\newline$ $-37 \leq 76b$
Divide to solve for b: Now, we divide both sides by $76$ to solve for $b$ . $\newline$ $-\frac{37}{76} \leq \frac{76b}{76}$ $\newline$ This simplifies to: $\newline$ $-\frac{37}{76} \leq b$
Reduce fraction $-\frac{37}{76}$ : We can reduce the fraction $-\frac{37}{76}$ to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor, which is $1$ in this case. So the fraction is already in its lowest terms. $\newline$ $-\frac{37}{76} \leq b$

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