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)

Remove parenthesis around (2 + -1q)
0.4 + 2 + -1q = 0.2(q + 7)

Combine like terms: 0.4 + 2 = 2.4
2.4 + -1q = 0.2(q + 7)

Reorder the terms:
2.4 + -1q = 0.2(7 + q)
2.4 + -1q = (7 * 0.2 + q * 0.2)
2.4 + -1q = (1.4 + 0.2q)

Solving
2.4 + -1q = 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.
2.4 + -1q + -0.2q = 1.4 + 0.2q + -0.2q

Combine like terms: -1q + -0.2q = -1.2q
2.4 + -1.2q = 1.4 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
2.4 + -1.2q = 1.4 + 0.0
2.4 + -1.2q = 1.4

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -1.2q = 1.4 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -1.2q = 1.4 + -2.4
-1.2q = 1.4 + -2.4

Combine like terms: 1.4 + -2.4 = -1
-1.2q = -1

Divide each side by '-1.2'.
q = 0.8333333333

Simplifying
q = 0.8333333333

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