8-3b-9+6b=3(b-7)-(b+9)

Solution for 8-3b-9+6b=3(b-7)-(b+9) equation:

Simplifying
8 + -3b + -9 + 6b = 3(b + -7) + -1(b + 9)

Reorder the terms:
8 + -9 + -3b + 6b = 3(b + -7) + -1(b + 9)

Combine like terms: 8 + -9 = -1
-1 + -3b + 6b = 3(b + -7) + -1(b + 9)

Combine like terms: -3b + 6b = 3b
-1 + 3b = 3(b + -7) + -1(b + 9)

Reorder the terms:
-1 + 3b = 3(-7 + b) + -1(b + 9)
-1 + 3b = (-7 * 3 + b * 3) + -1(b + 9)
-1 + 3b = (-21 + 3b) + -1(b + 9)

Reorder the terms:
-1 + 3b = -21 + 3b + -1(9 + b)
-1 + 3b = -21 + 3b + (9 * -1 + b * -1)
-1 + 3b = -21 + 3b + (-9 + -1b)

Reorder the terms:
-1 + 3b = -21 + -9 + 3b + -1b

Combine like terms: -21 + -9 = -30
-1 + 3b = -30 + 3b + -1b

Combine like terms: 3b + -1b = 2b
-1 + 3b = -30 + 2b

Solving
-1 + 3b = -30 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-1 + 3b + -2b = -30 + 2b + -2b

Combine like terms: 3b + -2b = 1b
-1 + 1b = -30 + 2b + -2b

Combine like terms: 2b + -2b = 0
-1 + 1b = -30 + 0
-1 + 1b = -30

Add '1' to each side of the equation.
-1 + 1 + 1b = -30 + 1

Combine like terms: -1 + 1 = 0
0 + 1b = -30 + 1
1b = -30 + 1

Combine like terms: -30 + 1 = -29
1b = -29

Divide each side by '1'.
b = -29

Simplifying
b = -29