24 - 4 x 2 + 4b = 20 - 16
1 answer:
Answer:
b = -3
Step-by-step explanation:
Solve for b:
4 b - 4 2 + 24 = 20 - 16
-4×2 = -8:
4 b + -8 + 24 = 20 - 16
Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):
4 b + (24 - 8) = 20 - 16
24 - 8 = 16:
4 b + 16 = 20 - 16
20 - 16 = 4:
4 b + 16 = 4
Subtract 16 from both sides:
4 b + (16 - 16) = 4 - 16
16 - 16 = 0:
4 b = 4 - 16
4 - 16 = -12:
4 b = -12
Divide both sides of 4 b = -12 by 4:
(4 b)/4 = (-12)/4
4/4 = 1:
b = (-12)/4
The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:
Answer: b = -3
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