0.4[2-q]=0.2[q+7]

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Solution for 0.4[2-q]=0.2[q+7] equation: 


Simplifying
0.4[2 + -1q] = 0.2[q + 7]
[2 * 0.4 + -1q * 0.4] = 0.2[q + 7]
[0.8 + -0.4q] = 0.2[q + 7]

Reorder the terms:
0.8 + -0.4q = 0.2[7 + q]
0.8 + -0.4q = [7 * 0.2 + q * 0.2]
0.8 + -0.4q = [1.4 + 0.2q]

Solving
0.8 + -0.4q = 1.4 + 0.2q

Solving for variable 'q'.

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

Add '-0.2q' to each side of the equation.
0.8 + -0.4q + -0.2q = 1.4 + 0.2q + -0.2q

Combine like terms: -0.4q + -0.2q = -0.6q
0.8 + -0.6q = 1.4 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
0.8 + -0.6q = 1.4 + 0.0
0.8 + -0.6q = 1.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.6q = 1.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.6q = 1.4 + -0.8
-0.6q = 1.4 + -0.8

Combine like terms: 1.4 + -0.8 = 0.6
-0.6q = 0.6

Divide each side by '-0.6'.
q = -1

Simplifying
q = -1

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