Solve 2(2a - 6b + 1) - 0.4(3a + 6b - 1) | 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

$$0.2(2a-6b+1)-0.4(3a+6b-1)$$

Evaluate

$\frac{3-18b-4a}{5}$

Solution Steps

Use the distributive property to multiply $0.2$ by $2a-6b+1$.

$$0.4a-1.2b+0.2-0.4\left(3a+6b-1\right)$$

Use the distributive property to multiply $-0.4$ by $3a+6b-1$.

$$0.4a-1.2b+0.2-1.2a-2.4b+0.4$$

Combine $0.4a$ and $-1.2a$ to get $-0.8a$.

$$-0.8a-1.2b+0.2-2.4b+0.4$$

Combine $-1.2b$ and $-2.4b$ to get $-3.6b$.

$$-0.8a-3.6b+0.2+0.4$$

Add $0.2$ and $0.4$ to get $0.6$.

$$-0.8a-3.6b+0.6$$

Expand

$\frac{3-18b-4a}{5}$

Solution Steps

Use the distributive property to multiply $0.2$ by $2a-6b+1$.

$$0.4a-1.2b+0.2-0.4\left(3a+6b-1\right)$$

Use the distributive property to multiply $-0.4$ by $3a+6b-1$.

$$0.4a-1.2b+0.2-1.2a-2.4b+0.4$$

Combine $0.4a$ and $-1.2a$ to get $-0.8a$.

$$-0.8a-1.2b+0.2-2.4b+0.4$$

Combine $-1.2b$ and $-2.4b$ to get $-3.6b$.

$$-0.8a-3.6b+0.2+0.4$$

Add $0.2$ and $0.4$ to get $0.6$.

$$-0.8a-3.6b+0.6$$