Solve 1010n:7a-9b+6a-4b=

$$1010 n : 7 a - 9 b + 6 a - 4 b =$$

Evaluate

$$\frac{1010an}{7}+6a-13b$$

Short Solution Steps

Express \frac{1010n}{7}a as a single fraction.

$$\frac{1010na}{7}-9b+6a-4b$$

Combine -9b and -4b to get -13b.

$$\frac{1010na}{7}-13b+6a$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -13b+6a times \frac{7}{7}.

$$\frac{1010na}{7}+\frac{7\left(-13b+6a\right)}{7}$$

Since \frac{1010na}{7} and \frac{7\left(-13b+6a\right)}{7} have the same denominator, add them by adding their numerators.

$$\frac{1010na+7\left(-13b+6a\right)}{7}$$

Do the multiplications in 1010na+7\left(-13b+6a\right).

$$\frac{1010na-91b+42a}{7}$$

Factor

$$\frac{1010an+42a-91b}{7}$$

Solution Steps

Factor out \frac{1}{7}.

$$\frac{1010na-63b+42a-28b}{7}$$