Solve 8k-4(3/4-5k/4)=1

$$8 k - 4 ( \frac { 3 } { 4 } - \frac { 5 k } { 4 } ) = 1$$

Solve for k

$$k=\frac{4}{13}\approx 0.307692308$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$32k-16\left(\frac{3}{4}-\frac{5k}{4}\right)=4$$

Since \frac{3}{4} and \frac{5k}{4} have the same denominator, add them by adding their numerators.

$$32k-16\times \frac{3+5k}{4}=4$$

Cancel out 4, the greatest common factor in 16 and 4.

$$32k-4\left(3+5k\right)=4$$

Use the distributive property to multiply -4 by 3+5k.

$$32k-12-20k=4$$

Combine 32k and -20k to get 12k.

$$12k-12=4$$

Add 12 to both sides.

$$12k=4+12$$

Add 4 and 12 to get 16.

$$12k=16$$

Divide both sides by 12.

$$k=\frac{16}{12}$$

Reduce the fraction \frac{16}{12} to lowest terms by extracting and canceling out 4.

$$k=\frac{4}{3}$$