Solve for a 48=6-7a

$48 = 6 - 7 a$

Step 1

Rewrite the equation as $6 - 7 a = 48$ .

$6 - 7 a = 48$

Step 2

Move all terms not containing $a$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

$- 7 a = 48 - 6$

Subtract $6$ from $48$ .

$- 7 a = 42$

Step 3

Divide each term in $- 7 a = 42$ by $- 7$ and simplify.

Divide each term in $- 7 a = 42$ by $- 7$ .

$\frac{- 7 a}{- 7} = \frac{42}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 a}{- 7} = \frac{42}{- 7}$

Divide $a$ by $1$ .

$a = \frac{42}{- 7}$

Simplify the right side.

Divide $42$ by $- 7$ .

$a = - 6$