Solve 44 <= - 6(2 - 4p) - 5(8p + 8) | 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

$$44 \leq - 6 ( 2 - 4 p ) - 5 ( 8 p + 8 )$$

Solve for p

$p\leq -6$

Solution Steps

Use the distributive property to multiply $-6$ by $2-4p$.

$$44\leq -12+24p-5\left(8p+8\right)$$

Use the distributive property to multiply $-5$ by $8p+8$.

$$44\leq -12+24p-40p-40$$

Combine $24p$ and $-40p$ to get $-16p$.

$$44\leq -12-16p-40$$

Subtract $40$ from $-12$ to get $-52$.

$$44\leq -52-16p$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-52-16p\geq 44$$

Add $52$ to both sides.

$$-16p\geq 44+52$$

Add $44$ and $52$ to get $96$.

$$-16p\geq 96$$

Divide both sides by $-16$. Since $-16$ is negative, the inequality direction is changed.

$$p\leq \frac{96}{-16}$$

Divide $96$ by $-16$ to get $-6$.

$$p\leq -6$$