-35-b=6(b-7)

Solution for -35-b=6(b-7) equation:

Simplifying
-35 + -1b = 6(b + -7)

Reorder the terms:
-35 + -1b = 6(-7 + b)
-35 + -1b = (-7 * 6 + b * 6)
-35 + -1b = (-42 + 6b)

Solving
-35 + -1b = -42 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-35 + -1b + -6b = -42 + 6b + -6b

Combine like terms: -1b + -6b = -7b
-35 + -7b = -42 + 6b + -6b

Combine like terms: 6b + -6b = 0
-35 + -7b = -42 + 0
-35 + -7b = -42

Add '35' to each side of the equation.
-35 + 35 + -7b = -42 + 35

Combine like terms: -35 + 35 = 0
0 + -7b = -42 + 35
-7b = -42 + 35

Combine like terms: -42 + 35 = -7
-7b = -7

Divide each side by '-7'.
b = 1

Simplifying
b = 1