0.42(2-q)=0.2(q+7)

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Solution for 0.42(2-q)=0.2(q+7) equation: 


Simplifying
0.42(2 + -1q) = 0.2(q + 7)
(2 * 0.42 + -1q * 0.42) = 0.2(q + 7)
(0.84 + -0.42q) = 0.2(q + 7)

Reorder the terms:
0.84 + -0.42q = 0.2(7 + q)
0.84 + -0.42q = (7 * 0.2 + q * 0.2)
0.84 + -0.42q = (1.4 + 0.2q)

Solving
0.84 + -0.42q = 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.
0.84 + -0.42q + -0.2q = 1.4 + 0.2q + -0.2q

Combine like terms: -0.42q + -0.2q = -0.62q
0.84 + -0.62q = 1.4 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
0.84 + -0.62q = 1.4 + 0.0
0.84 + -0.62q = 1.4

Add '-0.84' to each side of the equation.
0.84 + -0.84 + -0.62q = 1.4 + -0.84

Combine like terms: 0.84 + -0.84 = 0.00
0.00 + -0.62q = 1.4 + -0.84
-0.62q = 1.4 + -0.84

Combine like terms: 1.4 + -0.84 = 0.56
-0.62q = 0.56

Divide each side by '-0.62'.
q = -0.9032258065

Simplifying
q = -0.9032258065

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