1.3(b+8)-(7.1+0.3b)=-4+3

Solution for 1.3(b+8)-(7.1+0.3b)=-4+3 equation:

Simplifying
1.3(b + 8) + -1(7.1 + 0.3b) = -4 + 3

Reorder the terms:
1.3(8 + b) + -1(7.1 + 0.3b) = -4 + 3
(8 * 1.3 + b * 1.3) + -1(7.1 + 0.3b) = -4 + 3
(10.4 + 1.3b) + -1(7.1 + 0.3b) = -4 + 3
10.4 + 1.3b + (7.1 * -1 + 0.3b * -1) = -4 + 3
10.4 + 1.3b + (-7.1 + -0.3b) = -4 + 3

Reorder the terms:
10.4 + -7.1 + 1.3b + -0.3b = -4 + 3

Combine like terms: 10.4 + -7.1 = 3.3
3.3 + 1.3b + -0.3b = -4 + 3

Combine like terms: 1.3b + -0.3b = 1b
3.3 + 1b = -4 + 3

Combine like terms: -4 + 3 = -1
3.3 + 1b = -1

Solving
3.3 + 1b = -1

Solving for variable 'b'.

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

Add '-3.3' to each side of the equation.
3.3 + -3.3 + 1b = -1 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + 1b = -1 + -3.3
1b = -1 + -3.3

Combine like terms: -1 + -3.3 = -4.3
1b = -4.3

Divide each side by '1'.
b = -4.3

Simplifying
b = -4.3