Beginning Algebra With Applications, Chapter 3, 3.3, Section 3.3, Problem 142

Evaluate $2(m + 7) \leq 4[3(m- 2)-5(1 + m)]$

$
\begin{equation}
\begin{aligned}
2(m) + 2(7) &\leq 4 [3(m) - 3(2) - 5(1) + (-5)(m)] && \text{Use the Distributive Property to remove the parenthesis}\\
\\
2m + 14 &\leq 4 [3m - 6 - 5 - 5m] && \text{Evaluate}\\
\\
2m + 14 &\leq 4 [ -2m - 11] && \text{Combine like terms inside the bracket}\\
\\
2m + 14 &\leq 4(-2m) - 4(11) && \text{Again, apply Distributive Property}\\
\\
2m + 14 &\leq -8m - 44 && \text{Simplify}\\
\\
2m + 8m &\leq - 44 - 14 && \text{Group terms}\\
\\
10m &\leq -58 && \text{Combine like terms}\\
\\
\frac{10m}{10} &\leq \frac{-58}{10} && \text{Divide each side by 10}\\
\\
m &\leq -\frac{58}{10}\\
\\
m &\leq -\frac{29}{5}
\end{aligned}
\end{equation}
$