-4(-7-b)=0.33(b+40)

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Solution for -4(-7-b)=0.33(b+40) equation:


Simplifying
-4(-7 + -1b) = 0.33(b + 40)
(-7 * -4 + -1b * -4) = 0.33(b + 40)
(28 + 4b) = 0.33(b + 40)

Reorder the terms:
28 + 4b = 0.33(40 + b)
28 + 4b = (40 * 0.33 + b * 0.33)
28 + 4b = (13.2 + 0.33b)

Solving
28 + 4b = 13.2 + 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.
28 + 4b + -0.33b = 13.2 + 0.33b + -0.33b

Combine like terms: 4b + -0.33b = 3.67b
28 + 3.67b = 13.2 + 0.33b + -0.33b

Combine like terms: 0.33b + -0.33b = 0.00
28 + 3.67b = 13.2 + 0.00
28 + 3.67b = 13.2

Add '-28' to each side of the equation.
28 + -28 + 3.67b = 13.2 + -28

Combine like terms: 28 + -28 = 0
0 + 3.67b = 13.2 + -28
3.67b = 13.2 + -28

Combine like terms: 13.2 + -28 = -14.8
3.67b = -14.8

Divide each side by '3.67'.
b = -4.032697548

Simplifying
b = -4.032697548

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