.2(15-7)=3b-9

Solution for .2(15-7)=3b-9 equation:

Simplifying
0.2(15 + -7) = 3b + -9

Combine like terms: 15 + -7 = 8
0.2(8) = 3b + -9

Multiply 0.2 * 8
1.6 = 3b + -9

Reorder the terms:
1.6 = -9 + 3b

Solving
1.6 = -9 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
1.6 + -3b = -9 + 3b + -3b

Combine like terms: 3b + -3b = 0
1.6 + -3b = -9 + 0
1.6 + -3b = -9

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -3b = -9 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -3b = -9 + -1.6
-3b = -9 + -1.6

Combine like terms: -9 + -1.6 = -10.6
-3b = -10.6

Divide each side by '-3'.
b = 3.533333333

Simplifying
b = 3.533333333