.3(b+6)=.4b+8

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Solution for .3(b+6)=.4b+8 equation: 


Simplifying
0.3(b + 6) = 0.4b + 8

Reorder the terms:
0.3(6 + b) = 0.4b + 8
(6 * 0.3 + b * 0.3) = 0.4b + 8
(1.8 + 0.3b) = 0.4b + 8

Reorder the terms:
1.8 + 0.3b = 8 + 0.4b

Solving
1.8 + 0.3b = 8 + 0.4b

Solving for variable 'b'.

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

Add '-0.4b' to each side of the equation.
1.8 + 0.3b + -0.4b = 8 + 0.4b + -0.4b

Combine like terms: 0.3b + -0.4b = -0.1b
1.8 + -0.1b = 8 + 0.4b + -0.4b

Combine like terms: 0.4b + -0.4b = 0.0
1.8 + -0.1b = 8 + 0.0
1.8 + -0.1b = 8

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.1b = 8 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.1b = 8 + -1.8
-0.1b = 8 + -1.8

Combine like terms: 8 + -1.8 = 6.2
-0.1b = 6.2

Divide each side by '-0.1'.
b = -62

Simplifying
b = -62

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