Solve for s 7=1/6s+11

$7 = \frac{1}{6} s + 11$

Step 1

Rewrite the equation as $\frac{1}{6} s + 11 = 7$ .

$\frac{1}{6} s + 11 = 7$

Step 2

Combine $\frac{1}{6}$ and $s$ .

$\frac{s}{6} + 11 = 7$

Step 3

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

Subtract $11$ from both sides of the equation.

$\frac{s}{6} = 7 - 11$

Subtract $11$ from $7$ .

$\frac{s}{6} = - 4$

Step 4

Multiply both sides of the equation by $6$ .

$6 \frac{s}{6} = 6 \cdot - 4$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{s}{6} = 6 \cdot - 4$

Rewrite the expression.

$s = 6 \cdot - 4$

Simplify the right side.

Multiply $6$ by $- 4$ .

$s = - 24$