-3(-5-b)=.33(b+13)

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Solution for -3(-5-b)=.33(b+13) equation: 


Simplifying
-3(-5 + -1b) = 0.33(b + 13)
(-5 * -3 + -1b * -3) = 0.33(b + 13)
(15 + 3b) = 0.33(b + 13)

Reorder the terms:
15 + 3b = 0.33(13 + b)
15 + 3b = (13 * 0.33 + b * 0.33)
15 + 3b = (4.29 + 0.33b)

Solving
15 + 3b = 4.29 + 0.33b

Solving for variable 'b'.

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

Add '-0.33b' to each side of the equation.
15 + 3b + -0.33b = 4.29 + 0.33b + -0.33b

Combine like terms: 3b + -0.33b = 2.67b
15 + 2.67b = 4.29 + 0.33b + -0.33b

Combine like terms: 0.33b + -0.33b = 0.00
15 + 2.67b = 4.29 + 0.00
15 + 2.67b = 4.29

Add '-15' to each side of the equation.
15 + -15 + 2.67b = 4.29 + -15

Combine like terms: 15 + -15 = 0
0 + 2.67b = 4.29 + -15
2.67b = 4.29 + -15

Combine like terms: 4.29 + -15 = -10.71
2.67b = -10.71

Divide each side by '2.67'.
b = -4.011235955

Simplifying
b = -4.011235955

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