Solve for a 24a-22=-4(1-6a)

$24 a - 22 = - 4 (1 - 6 a)$

Step 1

Simplify $- 4 (1 - 6 a)$ .

Rewrite.

$24 a - 22 = 0 + 0 - 4 (1 - 6 a)$

Simplify by adding zeros.

$24 a - 22 = - 4 (1 - 6 a)$

Apply the distributive property.

$24 a - 22 = - 4 \cdot 1 - 4 (- 6 a)$

Multiply.

Multiply $- 4$ by $1$ .

$24 a - 22 = - 4 - 4 (- 6 a)$

Multiply $- 6$ by $- 4$ .

$24 a - 22 = - 4 + 24 a$

Step 2

Move all terms containing $a$ to the left side of the equation.

Subtract $24 a$ from both sides of the equation.

$24 a - 22 - 24 a = - 4$

Combine the opposite terms in $24 a - 22 - 24 a$ .

Subtract $24 a$ from $24 a$ .

$0 - 22 = - 4$

Subtract $22$ from $0$ .

$- 22 = - 4$

Step 3

Since $- 22 \neq - 4$ , there are no solutions.

No solution