9(3b+7)-(7b+2)=-59

Solution for 9(3b+7)-(7b+2)=-59 equation:

Simplifying
9(3b + 7) + -1(7b + 2) = -59

Reorder the terms:
9(7 + 3b) + -1(7b + 2) = -59
(7 * 9 + 3b * 9) + -1(7b + 2) = -59
(63 + 27b) + -1(7b + 2) = -59

Reorder the terms:
63 + 27b + -1(2 + 7b) = -59
63 + 27b + (2 * -1 + 7b * -1) = -59
63 + 27b + (-2 + -7b) = -59

Reorder the terms:
63 + -2 + 27b + -7b = -59

Combine like terms: 63 + -2 = 61
61 + 27b + -7b = -59

Combine like terms: 27b + -7b = 20b
61 + 20b = -59

Solving
61 + 20b = -59

Solving for variable 'b'.

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

Add '-61' to each side of the equation.
61 + -61 + 20b = -59 + -61

Combine like terms: 61 + -61 = 0
0 + 20b = -59 + -61
20b = -59 + -61

Combine like terms: -59 + -61 = -120
20b = -120

Divide each side by '20'.
b = -6

Simplifying
b = -6