3-0.3(b-6)=0.8(12b-6)

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Solution for 3-0.3(b-6)=0.8(12b-6) equation: 


Simplifying
3 + -0.3(b + -6) = 0.8(12b + -6)

Reorder the terms:
3 + -0.3(-6 + b) = 0.8(12b + -6)
3 + (-6 * -0.3 + b * -0.3) = 0.8(12b + -6)
3 + (1.8 + -0.3b) = 0.8(12b + -6)

Combine like terms: 3 + 1.8 = 4.8
4.8 + -0.3b = 0.8(12b + -6)

Reorder the terms:
4.8 + -0.3b = 0.8(-6 + 12b)
4.8 + -0.3b = (-6 * 0.8 + 12b * 0.8)
4.8 + -0.3b = (-4.8 + 9.6b)

Solving
4.8 + -0.3b = -4.8 + 9.6b

Solving for variable 'b'.

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

Add '-9.6b' to each side of the equation.
4.8 + -0.3b + -9.6b = -4.8 + 9.6b + -9.6b

Combine like terms: -0.3b + -9.6b = -9.9b
4.8 + -9.9b = -4.8 + 9.6b + -9.6b

Combine like terms: 9.6b + -9.6b = 0.0
4.8 + -9.9b = -4.8 + 0.0
4.8 + -9.9b = -4.8

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -9.9b = -4.8 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -9.9b = -4.8 + -4.8
-9.9b = -4.8 + -4.8

Combine like terms: -4.8 + -4.8 = -9.6
-9.9b = -9.6

Divide each side by '-9.9'.
b = 0.9696969697

Simplifying
b = 0.9696969697

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