Solve for a. -18(a + 12) - 5 ≤ 13 ______

Distribute -18: Distribute -18 to both terms inside the parentheses. -18(a + 12) - 5 ≤ 13 -18 * a + (-18) * 12 - 5 ≤ 13 -18a - 216 - 5 ≤ 13Combine like terms: Combine like terms on the left side of the inequality. -18a - 216 - 5 ≤ 13 -18a - 221 ≤ 13Add 221: Add 221 to both sides of the inequality to isolate the term with the variable a. -18a - 221 + 221 ≤ 13 + 221 -18a ≤ 234Divide and reverse inequality: Divide both sides of the inequality by -18 to solve for a. Remember to reverse the inequality sign because we are dividing by a negative number. -18a / -18 ≥ 234 / -18 a ≥ -13

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

a

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-18(a + 12) - 5 \leq 13

Distribute $-18$ : Distribute $-18$ to both terms inside the parentheses. $\newline$ $-18(a + 12) - 5 \leq 13$ $\newline$ $-18 \times a + (-18) \times 12 - 5 \leq 13$ $\newline$ $-18a - 216 - 5 \leq 13$
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ $-18a - 216 - 5 \leq 13$ $\newline$ $-18a - 221 \leq 13$
Add $221$ : Add $221$ to both sides of the inequality to isolate the term with the variable $a$ . $\newline$ $-18a - 221 + 221 \leq 13 + 221$ $\newline$ $-18a \leq 234$
Divide and reverse inequality: Divide both sides of the inequality by $-18$ to solve for $a$ . Remember to reverse the inequality sign because we are dividing by a negative number. $\newline$ $\frac{-18a}{-18} \geq \frac{234}{-18}$ $\newline$ $a \geq -13$