Question
Solve the following linear equation.
2z+10+6z+14=−562z+10+6z+14=-562z+10+6z+14=−56
z=z=z=
Answers
GPT-4o mini
To solve the equation \(2z + 10 + 6z + 14 = -56\), we first combine like terms on the left side.
1. Combine \(2z\) and \(6z\):
\[
(2z + 6z) + (10 + 14) = -56
\]
\[
8z + 24 = -56
\]
2. Next, isolate the term with \(z\) by subtracting 24 from both sides:
\[
8z + 24 - 24 = -56 - 24
\]
\[
8z = -80
\]
3. Divide both sides by 8 to solve for \(z\):
\[
z = \frac{-80}{8}
\]
\[
z = -10
\]
Thus, the solution is:
\[
\boxed{-10}
\]
1. Combine \(2z\) and \(6z\):
\[
(2z + 6z) + (10 + 14) = -56
\]
\[
8z + 24 = -56
\]
2. Next, isolate the term with \(z\) by subtracting 24 from both sides:
\[
8z + 24 - 24 = -56 - 24
\]
\[
8z = -80
\]
3. Divide both sides by 8 to solve for \(z\):
\[
z = \frac{-80}{8}
\]
\[
z = -10
\]
Thus, the solution is:
\[
\boxed{-10}
\]