Solve 19k=2(k+13)+3(8k+3)

$$19 k = 2 ( k + 13 ) + 3 ( 8 k + 3 )$$

Solve for k

$$k=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by k+13.

$$19k=2k+26+3\left(8k+3\right)$$

Use the distributive property to multiply 3 by 8k+3.

$$19k=2k+26+24k+9$$

Combine 2k and 24k to get 26k.

$$19k=26k+26+9$$

Add 26 and 9 to get 35.

$$19k=26k+35$$

Subtract 26k from both sides.

$$19k-26k=35$$

Combine 19k and -26k to get -7k.

$$-7k=35$$

Divide both sides by -7.

$$k=\frac{35}{-7}$$

Divide 35 by -7 to get -5.

$$k=-5$$