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4 years ago

24 - 4 x 2 + 4b = 20 - 16

Mathematics

1 answer:

AnnZ [28]4 years ago

4 0

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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24 - 4 x 2 + 4b = 20 - 16​

24 - 4 x 2 + 4b = 20 - 16