Answer:
b=-7
Step-by-step explanation:
Simplifying
99 = 2(-7b + -3) + 7
Reorder the terms:
99 = 2(-3 + -7b) + 7
99 = (-3 * 2 + -7b * 2) + 7
99 = (-6 + -14b) + 7
Reorder the terms:
99 = -6 + 7 + -14b
Combine like terms: -6 + 7 = 1
99 = 1 + -14b
Solving
99 = 1 + -14b
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '14b' to each side of the equation.
99 + 14b = 1 + -14b + 14b
Combine like terms: -14b + 14b = 0
99 + 14b = 1 + 0
99 + 14b = 1
Add '-99' to each side of the equation.
99 + -99 + 14b = 1 + -99
Combine like terms: 99 + -99 = 0
0 + 14b = 1 + -99
14b = 1 + -99
Combine like terms: 1 + -99 = -98
14b = -98
Divide each side by '14'.
b = -7
Simplifying
b = -7