Solve =12*3+24k/2*25-(2*3+8k/4)*9=1230

$$= 1 \frac { 2 \times 3 + 24 k } { 2 } \times 25 - ( \frac { 2 \times 3 + 8 k } { 4 } ) \times 9 = 1230$$

Solve for k

$$k = \frac{779}{188} = 4\frac{27}{188} \approx 4.143617021$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2\left(2\times 3+24k\right)\times 25-\left(2\times 3+8k\right)\times 9=4920$$

Multiply 2 and 3 to get 6.

$$2\left(6+24k\right)\times 25-\left(2\times 3+8k\right)\times 9=4920$$

Multiply 2 and 25 to get 50.

$$50\left(6+24k\right)-\left(2\times 3+8k\right)\times 9=4920$$

Use the distributive property to multiply 50 by 6+24k.

$$300+1200k-\left(2\times 3+8k\right)\times 9=4920$$

Multiply 2 and 3 to get 6.

$$300+1200k-\left(6+8k\right)\times 9=4920$$

Use the distributive property to multiply 6+8k by 9.

$$300+1200k-\left(54+72k\right)=4920$$

To find the opposite of 54+72k, find the opposite of each term.

$$300+1200k-54-72k=4920$$

Subtract 54 from 300 to get 246.

$$246+1200k-72k=4920$$

Combine 1200k and -72k to get 1128k.

$$246+1128k=4920$$

Subtract 246 from both sides.

$$1128k=4920-246$$

Subtract 246 from 4920 to get 4674.

$$1128k=4674$$

Divide both sides by 1128.

$$k=\frac{4674}{1128}$$

Reduce the fraction \frac{4674}{1128} to lowest terms by extracting and canceling out 6.

$$k=\frac{779}{188}$$