59=7(-3b+3)+2(6b-8)

Solution for 59=7(-3b+3)+2(6b-8) equation:

Simplifying
59 = 7(-3b + 3) + 2(6b + -8)

Reorder the terms:
59 = 7(3 + -3b) + 2(6b + -8)
59 = (3 * 7 + -3b * 7) + 2(6b + -8)
59 = (21 + -21b) + 2(6b + -8)

Reorder the terms:
59 = 21 + -21b + 2(-8 + 6b)
59 = 21 + -21b + (-8 * 2 + 6b * 2)
59 = 21 + -21b + (-16 + 12b)

Reorder the terms:
59 = 21 + -16 + -21b + 12b

Combine like terms: 21 + -16 = 5
59 = 5 + -21b + 12b

Combine like terms: -21b + 12b = -9b
59 = 5 + -9b

Solving
59 = 5 + -9b

Solving for variable 'b'.

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

Add '9b' to each side of the equation.
59 + 9b = 5 + -9b + 9b

Combine like terms: -9b + 9b = 0
59 + 9b = 5 + 0
59 + 9b = 5

Add '-59' to each side of the equation.
59 + -59 + 9b = 5 + -59

Combine like terms: 59 + -59 = 0
0 + 9b = 5 + -59
9b = 5 + -59

Combine like terms: 5 + -59 = -54
9b = -54

Divide each side by '9'.
b = -6

Simplifying
b = -6