Solve -15(-2a/5-4/3)=

$$- 15 ( - \frac { 2 a } { 5 } - \frac { 4 } { 3 } ) =$$

Evaluate

$$6a+20$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3 is 15. Multiply -\frac{2a}{5} times \frac{3}{3}. Multiply \frac{4}{3} times \frac{5}{5}.

$$-15\left(-\frac{3\times 2a}{15}-\frac{4\times 5}{15}\right)$$

Since -\frac{3\times 2a}{15} and \frac{4\times 5}{15} have the same denominator, subtract them by subtracting their numerators.

$$-15\times \frac{-3\times 2a-4\times 5}{15}$$

Do the multiplications in -3\times 2a-4\times 5.

$$-15\times \frac{-6a-20}{15}$$

Cancel out 15 and 15.

$$-\left(-6a-20\right)$$

To find the opposite of -6a-20, find the opposite of each term.

$$-\left(-6a\right)-\left(-20\right)$$

The opposite of -6a is 6a.

$$6a-\left(-20\right)$$

The opposite of -20 is 20.

$$6a+20$$

Expand

$$6a+20$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3 is 15. Multiply -\frac{2a}{5} times \frac{3}{3}. Multiply \frac{4}{3} times \frac{5}{5}.

$$-15\left(-\frac{3\times 2a}{15}-\frac{4\times 5}{15}\right)$$

Since -\frac{3\times 2a}{15} and \frac{4\times 5}{15} have the same denominator, subtract them by subtracting their numerators.

$$-15\times \frac{-3\times 2a-4\times 5}{15}$$

Do the multiplications in -3\times 2a-4\times 5.

$$-15\times \frac{-6a-20}{15}$$

Cancel out 15 and 15.

$$-\left(-6a-20\right)$$

To find the opposite of -6a-20, find the opposite of each term.

$$-\left(-6a\right)-\left(-20\right)$$

The opposite of -6a is 6a.

$$6a-\left(-20\right)$$

The opposite of -20 is 20.

$$6a+20$$