3(-5b+1)=b+35

Solution for 3(-5b+1)=b+35 equation:

Simplifying
3(-5b + 1) = b + 35

Reorder the terms:
3(1 + -5b) = b + 35
(1 * 3 + -5b * 3) = b + 35
(3 + -15b) = b + 35

Reorder the terms:
3 + -15b = 35 + b

Solving
3 + -15b = 35 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
3 + -15b + -1b = 35 + b + -1b

Combine like terms: -15b + -1b = -16b
3 + -16b = 35 + b + -1b

Combine like terms: b + -1b = 0
3 + -16b = 35 + 0
3 + -16b = 35

Add '-3' to each side of the equation.
3 + -3 + -16b = 35 + -3

Combine like terms: 3 + -3 = 0
0 + -16b = 35 + -3
-16b = 35 + -3

Combine like terms: 35 + -3 = 32
-16b = 32

Divide each side by '-16'.
b = -2

Simplifying
b = -2