9(8b-7)+5b=-9-8(12-7b)

Solution for 9(8b-7)+5b=-9-8(12-7b) equation:

Simplifying
9(8b + -7) + 5b = -9 + -8(12 + -7b)

Reorder the terms:
9(-7 + 8b) + 5b = -9 + -8(12 + -7b)
(-7 * 9 + 8b * 9) + 5b = -9 + -8(12 + -7b)
(-63 + 72b) + 5b = -9 + -8(12 + -7b)

Combine like terms: 72b + 5b = 77b
-63 + 77b = -9 + -8(12 + -7b)
-63 + 77b = -9 + (12 * -8 + -7b * -8)
-63 + 77b = -9 + (-96 + 56b)

Combine like terms: -9 + -96 = -105
-63 + 77b = -105 + 56b

Solving
-63 + 77b = -105 + 56b

Solving for variable 'b'.

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

Add '-56b' to each side of the equation.
-63 + 77b + -56b = -105 + 56b + -56b

Combine like terms: 77b + -56b = 21b
-63 + 21b = -105 + 56b + -56b

Combine like terms: 56b + -56b = 0
-63 + 21b = -105 + 0
-63 + 21b = -105

Add '63' to each side of the equation.
-63 + 63 + 21b = -105 + 63

Combine like terms: -63 + 63 = 0
0 + 21b = -105 + 63
21b = -105 + 63

Combine like terms: -105 + 63 = -42
21b = -42

Divide each side by '21'.
b = -2

Simplifying
b = -2