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$Solve for b. Express your answer as a proper or improper fraction in simplest terms. -(7)/(8)-(1)/(8)b=-(1)/(2) Answer: b=$

Solve for $b$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $-\frac{7}{8}-\frac{1}{8} b=-\frac{1}{2}$ $\newline$ Answer: $b=$

Full solution

Q. Solve for

b

. Express your answer as a proper or improper fraction in simplest terms.

\newline

-\frac{7}{8}-\frac{1}{8} b=-\frac{1}{2}

\newline

Answer:

b=

Isolate variable term: Simplify the equation by isolating the term with the variable $b$ . $-\left(\frac{7}{8}\right) - \left(\frac{1}{8}\right)b = -\left(\frac{1}{2}\right)$ Add $\left(\frac{7}{8}\right)$ to both sides of the equation to move the constant term to the right side. $-\left(\frac{1}{8}\right)b = -\left(\frac{1}{2}\right) + \left(\frac{7}{8}\right)$
Add constant term: Find a common denominator for the fractions on the right side of the equation. $\newline$ The common denominator for $2$ and $8$ is $8$ . $\newline$ $-(\frac{1}{8})b = -\frac{4}{8} + \frac{7}{8}$
Find common denominator: Combine the fractions on the right side of the equation. $\newline$ $-\frac{1}{8}b = \frac{-4 + 7}{8}$ $\newline$ $-\frac{1}{8}b = \frac{3}{8}$
Combine fractions: Solve for $b$ by multiplying both sides of the equation by $-8$ . $-\left(\frac{1}{8}\right)b \cdot -8 = \frac{3}{8} \cdot -8$ $b = -3$