Solve 14a-(2a+6b+3)=12a

$$14 a - ( 2 a + 6 b + 3 ) = 12 a$$

Solve for b

$$b = -\frac{1}{2} = -0.5$$

Steps for Solving Linear Equation

To find the opposite of 2a+6b+3, find the opposite of each term.

$$14a-2a-6b-3=12a$$

Combine 14a and -2a to get 12a.

$$12a-6b-3=12a$$

Subtract 12a from both sides.

$$-6b-3=12a-12a$$

Combine 12a and -12a to get 0.

$$-6b-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$-6b=3$$

Divide both sides by -6.

$$b=\frac{3}{-6}$$

Reduce the fraction \frac{3}{-6} to lowest terms by extracting and canceling out 3.

$$b=-\frac{1}{2}$$

Solve for a (complex solution)

$$a\in \mathrm{C}$$

$$b = -\frac{1}{2} = -0.5$$

Solve for a

$$a\in \mathrm{R}$$

$$b = -\frac{1}{2} = -0.5$$