4.9+5.7b-0.3(10b-7)=34

Solution for 4.9+5.7b-0.3(10b-7)=34 equation:

Simplifying
4.9 + 5.7b + -0.3(10b + -7) = 34

Reorder the terms:
4.9 + 5.7b + -0.3(-7 + 10b) = 34
4.9 + 5.7b + (-7 * -0.3 + 10b * -0.3) = 34
4.9 + 5.7b + (2.1 + -3b) = 34

Reorder the terms:
4.9 + 2.1 + 5.7b + -3b = 34

Combine like terms: 4.9 + 2.1 = 7
7 + 5.7b + -3b = 34

Combine like terms: 5.7b + -3b = 2.7b
7 + 2.7b = 34

Solving
7 + 2.7b = 34

Solving for variable 'b'.

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

Add '-7' to each side of the equation.
7 + -7 + 2.7b = 34 + -7

Combine like terms: 7 + -7 = 0
0 + 2.7b = 34 + -7
2.7b = 34 + -7

Combine like terms: 34 + -7 = 27
2.7b = 27

Divide each side by '2.7'.
b = 10

Simplifying
b = 10