Solve -90.98=7.8(a-7.3)+7.3

$$- 90.98 = 7.8 ( a - 7.3 ) + 7.3$$

Solve for a

$$a=-5.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7.8 by a-7.3.

$$-90.98=7.8a-56.94+7.3$$

Add -56.94 and 7.3 to get -49.64.

$$-90.98=7.8a-49.64$$

Swap sides so that all variable terms are on the left hand side.

$$7.8a-49.64=-90.98$$

Add 49.64 to both sides.

$$7.8a=-90.98+49.64$$

Add -90.98 and 49.64 to get -41.34.

$$7.8a=-41.34$$

Divide both sides by 7.8.

$$a=\frac{-41.34}{7.8}$$

Expand \frac{-41.34}{7.8} by multiplying both numerator and the denominator by 100.

$$a=\frac{-4134}{780}$$

Reduce the fraction \frac{-4134}{780} to lowest terms by extracting and canceling out 78.

$$a=-\frac{53}{10}$$