.4(2-q)=2(q+7)

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Solution for .4(2-q)=2(q+7) equation:


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

Reorder the terms:
0.8 + -0.4q = 2(7 + q)
0.8 + -0.4q = (7 * 2 + q * 2)
0.8 + -0.4q = (14 + 2q)

Solving
0.8 + -0.4q = 14 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
0.8 + -0.4q + -2q = 14 + 2q + -2q

Combine like terms: -0.4q + -2q = -2.4q
0.8 + -2.4q = 14 + 2q + -2q

Combine like terms: 2q + -2q = 0
0.8 + -2.4q = 14 + 0
0.8 + -2.4q = 14

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -2.4q = 14 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -2.4q = 14 + -0.8
-2.4q = 14 + -0.8

Combine like terms: 14 + -0.8 = 13.2
-2.4q = 13.2

Divide each side by '-2.4'.
q = -5.5

Simplifying
q = -5.5

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