8(2-3q)=4(2q+1)

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Solution for 8(2-3q)=4(2q+1) equation: 


Simplifying
8(2 + -3q) = 4(2q + 1)
(2 * 8 + -3q * 8) = 4(2q + 1)
(16 + -24q) = 4(2q + 1)

Reorder the terms:
16 + -24q = 4(1 + 2q)
16 + -24q = (1 * 4 + 2q * 4)
16 + -24q = (4 + 8q)

Solving
16 + -24q = 4 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
16 + -24q + -8q = 4 + 8q + -8q

Combine like terms: -24q + -8q = -32q
16 + -32q = 4 + 8q + -8q

Combine like terms: 8q + -8q = 0
16 + -32q = 4 + 0
16 + -32q = 4

Add '-16' to each side of the equation.
16 + -16 + -32q = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -32q = 4 + -16
-32q = 4 + -16

Combine like terms: 4 + -16 = -12
-32q = -12

Divide each side by '-32'.
q = 0.375

Simplifying
q = 0.375

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