Solve -4(-5-b)=1/3(b+16)

Evaluate

- 4 (- 5 - b) = \frac{1}{3} (b + 16)

Multiply the terms

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- 4 (- 5 - b) = \frac{1}{3} b + \frac{16}{3}

Expand the expression

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20 + 4 b = \frac{1}{3} b + \frac{16}{3}

Multiply both sides of the equation by LCM

(20 + 4 b) \times 3 = (\frac{1}{3} b + \frac{16}{3}) \times 3

Calculate

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60 + 12 b = (\frac{1}{3} b + \frac{16}{3}) \times 3

Calculate

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60 + 12 b = b + 16

Move the expression to the left side

60 + 12 b - b = 16

Move the expression to the right side

12 b - b = 16 - 60

Add and subtract

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11 b = 16 - 60

Add and subtract

11 b = - 44

Divide both sides

\frac{11 b}{11} = \frac{- 44}{11}

Divide the numbers

b = \frac{- 44}{11}

Solution

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b = - 4

Solve the equation