9.2(8q-1)=4(q-4)

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Solution for 9.2(8q-1)=4(q-4) equation:


Simplifying
9.2(8q + -1) = 4(q + -4)

Reorder the terms:
9.2(-1 + 8q) = 4(q + -4)
(-1 * 9.2 + 8q * 9.2) = 4(q + -4)
(-9.2 + 73.6q) = 4(q + -4)

Reorder the terms:
-9.2 + 73.6q = 4(-4 + q)
-9.2 + 73.6q = (-4 * 4 + q * 4)
-9.2 + 73.6q = (-16 + 4q)

Solving
-9.2 + 73.6q = -16 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
-9.2 + 73.6q + -4q = -16 + 4q + -4q

Combine like terms: 73.6q + -4q = 69.6q
-9.2 + 69.6q = -16 + 4q + -4q

Combine like terms: 4q + -4q = 0
-9.2 + 69.6q = -16 + 0
-9.2 + 69.6q = -16

Add '9.2' to each side of the equation.
-9.2 + 9.2 + 69.6q = -16 + 9.2

Combine like terms: -9.2 + 9.2 = 0.0
0.0 + 69.6q = -16 + 9.2
69.6q = -16 + 9.2

Combine like terms: -16 + 9.2 = -6.8
69.6q = -6.8

Divide each side by '69.6'.
q = -0.09770114943

Simplifying
q = -0.09770114943

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