Question

what value of b is a solution to this equation?
2b - 14 = -26

b = -6 \t\t b = 7

Explanation:

Step1: Solve the equation \(2b - 14 = -26\)

First, add 14 to both sides of the equation:
\(2b - 14 + 14 = -26 + 14\)
\(2b = -12\)

Step2: Divide both sides by 2

\(\frac{2b}{2} = \frac{-12}{2}\)
\(b = -6\)
We can also check by substituting the given values. For \(b = -6\):
Left side: \(2(-6) - 14 = -12 - 14 = -26\), which equals the right side. For \(b = 7\): \(2(7) - 14 = 14 - 14 = 0
eq -26\).

Answer:

\(b = -6\) (So the solution is \(b = -6\))