0.4(2-q)=0.4(q+8)

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Solution for 0.4(2-q)=0.4(q+8) equation: 


Simplifying
0.4(2 + -1q) = 0.4(q + 8)
(2 * 0.4 + -1q * 0.4) = 0.4(q + 8)
(0.8 + -0.4q) = 0.4(q + 8)

Reorder the terms:
0.8 + -0.4q = 0.4(8 + q)
0.8 + -0.4q = (8 * 0.4 + q * 0.4)
0.8 + -0.4q = (3.2 + 0.4q)

Solving
0.8 + -0.4q = 3.2 + 0.4q

Solving for variable 'q'.

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

Add '-0.4q' to each side of the equation.
0.8 + -0.4q + -0.4q = 3.2 + 0.4q + -0.4q

Combine like terms: -0.4q + -0.4q = -0.8q
0.8 + -0.8q = 3.2 + 0.4q + -0.4q

Combine like terms: 0.4q + -0.4q = 0.0
0.8 + -0.8q = 3.2 + 0.0
0.8 + -0.8q = 3.2

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.8q = 3.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.8q = 3.2 + -0.8
-0.8q = 3.2 + -0.8

Combine like terms: 3.2 + -0.8 = 2.4
-0.8q = 2.4

Divide each side by '-0.8'.
q = -3

Simplifying
q = -3

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