.3(4b-2)=-6+12b

Solution for .3(4b-2)=-6+12b equation:

Simplifying
0.3(4b + -2) = -6 + 12b

Reorder the terms:
0.3(-2 + 4b) = -6 + 12b
(-2 * 0.3 + 4b * 0.3) = -6 + 12b
(-0.6 + 1.2b) = -6 + 12b

Solving
-0.6 + 1.2b = -6 + 12b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-12b' to each side of the equation.
-0.6 + 1.2b + -12b = -6 + 12b + -12b

Combine like terms: 1.2b + -12b = -10.8b
-0.6 + -10.8b = -6 + 12b + -12b

Combine like terms: 12b + -12b = 0
-0.6 + -10.8b = -6 + 0
-0.6 + -10.8b = -6

Add '0.6' to each side of the equation.
-0.6 + 0.6 + -10.8b = -6 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -10.8b = -6 + 0.6
-10.8b = -6 + 0.6

Combine like terms: -6 + 0.6 = -5.4
-10.8b = -5.4

Divide each side by '-10.8'.
b = 0.5

Simplifying
b = 0.5