.04(2-q)=0.2(q+7)

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Solution for .04(2-q)=0.2(q+7) equation: 


Simplifying
0.04(2 + -1q) = 0.2(q + 7)
(2 * 0.04 + -1q * 0.04) = 0.2(q + 7)
(0.08 + -0.04q) = 0.2(q + 7)

Reorder the terms:
0.08 + -0.04q = 0.2(7 + q)
0.08 + -0.04q = (7 * 0.2 + q * 0.2)
0.08 + -0.04q = (1.4 + 0.2q)

Solving
0.08 + -0.04q = 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.
0.08 + -0.04q + -0.2q = 1.4 + 0.2q + -0.2q

Combine like terms: -0.04q + -0.2q = -0.24q
0.08 + -0.24q = 1.4 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
0.08 + -0.24q = 1.4 + 0.0
0.08 + -0.24q = 1.4

Add '-0.08' to each side of the equation.
0.08 + -0.08 + -0.24q = 1.4 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + -0.24q = 1.4 + -0.08
-0.24q = 1.4 + -0.08

Combine like terms: 1.4 + -0.08 = 1.32
-0.24q = 1.32

Divide each side by '-0.24'.
q = -5.5

Simplifying
q = -5.5

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