0.2(b-2)-0.5(b+2)=4.5

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Solution for 0.2(b-2)-0.5(b+2)=4.5 equation: 


Simplifying
0.2(b + -2) + -0.5(b + 2) = 4.5

Reorder the terms:
0.2(-2 + b) + -0.5(b + 2) = 4.5
(-2 * 0.2 + b * 0.2) + -0.5(b + 2) = 4.5
(-0.4 + 0.2b) + -0.5(b + 2) = 4.5

Reorder the terms:
-0.4 + 0.2b + -0.5(2 + b) = 4.5
-0.4 + 0.2b + (2 * -0.5 + b * -0.5) = 4.5
-0.4 + 0.2b + (-1 + -0.5b) = 4.5

Reorder the terms:
-0.4 + -1 + 0.2b + -0.5b = 4.5

Combine like terms: -0.4 + -1 = -1.4
-1.4 + 0.2b + -0.5b = 4.5

Combine like terms: 0.2b + -0.5b = -0.3b
-1.4 + -0.3b = 4.5

Solving
-1.4 + -0.3b = 4.5

Solving for variable 'b'.

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

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -0.3b = 4.5 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.3b = 4.5 + 1.4
-0.3b = 4.5 + 1.4

Combine like terms: 4.5 + 1.4 = 5.9
-0.3b = 5.9

Divide each side by '-0.3'.
b = -19.66666667

Simplifying
b = -19.66666667

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