6(7+b)-3(b-1)=b+4+1+7b

Solution for 6(7+b)-3(b-1)=b+4+1+7b equation:

Simplifying
6(7 + b) + -3(b + -1) = b + 4 + 1 + 7b
(7 * 6 + b * 6) + -3(b + -1) = b + 4 + 1 + 7b
(42 + 6b) + -3(b + -1) = b + 4 + 1 + 7b

Reorder the terms:
42 + 6b + -3(-1 + b) = b + 4 + 1 + 7b
42 + 6b + (-1 * -3 + b * -3) = b + 4 + 1 + 7b
42 + 6b + (3 + -3b) = b + 4 + 1 + 7b

Reorder the terms:
42 + 3 + 6b + -3b = b + 4 + 1 + 7b

Combine like terms: 42 + 3 = 45
45 + 6b + -3b = b + 4 + 1 + 7b

Combine like terms: 6b + -3b = 3b
45 + 3b = b + 4 + 1 + 7b

Reorder the terms:
45 + 3b = 4 + 1 + b + 7b

Combine like terms: 4 + 1 = 5
45 + 3b = 5 + b + 7b

Combine like terms: b + 7b = 8b
45 + 3b = 5 + 8b

Solving
45 + 3b = 5 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
45 + 3b + -8b = 5 + 8b + -8b

Combine like terms: 3b + -8b = -5b
45 + -5b = 5 + 8b + -8b

Combine like terms: 8b + -8b = 0
45 + -5b = 5 + 0
45 + -5b = 5

Add '-45' to each side of the equation.
45 + -45 + -5b = 5 + -45

Combine like terms: 45 + -45 = 0
0 + -5b = 5 + -45
-5b = 5 + -45

Combine like terms: 5 + -45 = -40
-5b = -40

Divide each side by '-5'.
b = 8

Simplifying
b = 8