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 = -2.2
-0.6q = -2.2

Divide each side by '-0.6'.
q = 3.666666667

Simplifying
q = 3.666666667

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