Solve - 3(- 3 - 5n) <= - 96 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-3(-3-5n)\le-96$$

Solve for n

$n\leq -7$

Solution Steps

Divide both sides by $-3$. Since $-3$ is negative, the inequality direction is changed.

$$-3-5n\geq \frac{-96}{-3}$$

Divide $-96$ by $-3$ to get $32$.

$$-3-5n\geq 32$$

Add $3$ to both sides.

$$-5n\geq 32+3$$

Add $32$ and $3$ to get $35$.

$$-5n\geq 35$$

Divide both sides by $-5$. Since $-5$ is negative, the inequality direction is changed.

$$n\leq \frac{35}{-5}$$

Divide $35$ by $-5$ to get $-7$.

$$n\leq -7$$