4=0.4(3b-5)

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Solution for 4=0.4(3b-5) equation:


Simplifying
4 = 0.4(3b + -5)

Reorder the terms:
4 = 0.4(-5 + 3b)
4 = (-5 * 0.4 + 3b * 0.4)
4 = (-2 + 1.2b)

Solving
4 = -2 + 1.2b

Solving for variable 'b'.

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

Add '-1.2b' to each side of the equation.
4 + -1.2b = -2 + 1.2b + -1.2b

Combine like terms: 1.2b + -1.2b = 0.0
4 + -1.2b = -2 + 0.0
4 + -1.2b = -2

Add '-4' to each side of the equation.
4 + -4 + -1.2b = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -1.2b = -2 + -4
-1.2b = -2 + -4

Combine like terms: -2 + -4 = -6
-1.2b = -6

Divide each side by '-1.2'.
b = 5

Simplifying
b = 5

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