0.4(2-q)=.20(q+7)

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Solution for 0.4(2-q)=.20(q+7) equation: 


Simplifying
0.4(2 + -1q) = 0.20(q + 7)
(2 * 0.4 + -1q * 0.4) = 0.20(q + 7)
(0.8 + -0.4q) = 0.20(q + 7)

Reorder the terms:
0.8 + -0.4q = 0.20(7 + q)
0.8 + -0.4q = (7 * 0.20 + q * 0.20)
0.8 + -0.4q = (1.4 + 0.20q)

Solving
0.8 + -0.4q = 1.4 + 0.20q

Solving for variable 'q'.

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

Add '-0.20q' to each side of the equation.
0.8 + -0.4q + -0.20q = 1.4 + 0.20q + -0.20q

Combine like terms: -0.4q + -0.20q = -0.6q
0.8 + -0.6q = 1.4 + 0.20q + -0.20q

Combine like terms: 0.20q + -0.20q = 0.00
0.8 + -0.6q = 1.4 + 0.00
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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