0.4(2-9)=0.2(q+7)

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Solution for 0.4(2-9)=0.2(q+7) equation: 


Simplifying
0.4(2 + -9) = 0.2(q + 7)

Combine like terms: 2 + -9 = -7
0.4(-7) = 0.2(q + 7)

Multiply 0.4 * -7
-2.8 = 0.2(q + 7)

Reorder the terms:
-2.8 = 0.2(7 + q)
-2.8 = (7 * 0.2 + q * 0.2)
-2.8 = (1.4 + 0.2q)

Solving
-2.8 = 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.
-2.8 + -0.2q = 1.4 + 0.2q + -0.2q

Combine like terms: 0.2q + -0.2q = 0.0
-2.8 + -0.2q = 1.4 + 0.0
-2.8 + -0.2q = 1.4

Add '2.8' to each side of the equation.
-2.8 + 2.8 + -0.2q = 1.4 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + -0.2q = 1.4 + 2.8
-0.2q = 1.4 + 2.8

Combine like terms: 1.4 + 2.8 = 4.2
-0.2q = 4.2

Divide each side by '-0.2'.
q = -21

Simplifying
q = -21

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