7.2-18.4q=-6q+1.6(-4q+2)

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Solution for 7.2-18.4q=-6q+1.6(-4q+2) equation: 


Simplifying
7.2 + -18.4q = -6q + 1.6(-4q + 2)

Reorder the terms:
7.2 + -18.4q = -6q + 1.6(2 + -4q)
7.2 + -18.4q = -6q + (2 * 1.6 + -4q * 1.6)
7.2 + -18.4q = -6q + (3.2 + -6.4q)

Reorder the terms:
7.2 + -18.4q = 3.2 + -6q + -6.4q

Combine like terms: -6q + -6.4q = -12.4q
7.2 + -18.4q = 3.2 + -12.4q

Solving
7.2 + -18.4q = 3.2 + -12.4q

Solving for variable 'q'.

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

Add '12.4q' to each side of the equation.
7.2 + -18.4q + 12.4q = 3.2 + -12.4q + 12.4q

Combine like terms: -18.4q + 12.4q = -6q
7.2 + -6q = 3.2 + -12.4q + 12.4q

Combine like terms: -12.4q + 12.4q = 0.0
7.2 + -6q = 3.2 + 0.0
7.2 + -6q = 3.2

Add '-7.2' to each side of the equation.
7.2 + -7.2 + -6q = 3.2 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -6q = 3.2 + -7.2
-6q = 3.2 + -7.2

Combine like terms: 3.2 + -7.2 = -4
-6q = -4

Divide each side by '-6'.
q = 0.6666666667

Simplifying
q = 0.6666666667

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