Algebra Examples

$- \frac{- 8}{r + 6} = \frac{1}{4}$

Step 1

Simplify both sides.

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Step 1.1

Move the negative in front of the fraction.

$- - \frac{8}{r + 6} = \frac{1}{4}$

Step 1.2

Multiply $- - \frac{8}{r + 6}$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$1 \frac{8}{r + 6} = \frac{1}{4}$

Step 1.2.2

Multiply $\frac{8}{r + 6}$ by $1$ .

$\frac{8}{r + 6} = \frac{1}{4}$

Step 2

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$8 \cdot 4 = (r + 6) \cdot 1$

Step 3

Solve the equation for $r$ .

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Step 3.1

Rewrite the equation as $(r + 6) \cdot 1 = 8 \cdot 4$ .

$(r + 6) \cdot 1 = 8 \cdot 4$

Step 3.2

Multiply $r + 6$ by $1$ .

$r + 6 = 8 \cdot 4$

Step 3.3

Multiply $8$ by $4$ .

$r + 6 = 32$

Step 3.4

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

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Step 3.4.1

Subtract $6$ from both sides of the equation.

$r = 32 - 6$

Step 3.4.2

Subtract $6$ from $32$ .

$r = 26$