2(8-3q)=4q-9

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Solution for 2(8-3q)=4q-9 equation: 


Simplifying
2(8 + -3q) = 4q + -9
(8 * 2 + -3q * 2) = 4q + -9
(16 + -6q) = 4q + -9

Reorder the terms:
16 + -6q = -9 + 4q

Solving
16 + -6q = -9 + 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.
16 + -6q + -4q = -9 + 4q + -4q

Combine like terms: -6q + -4q = -10q
16 + -10q = -9 + 4q + -4q

Combine like terms: 4q + -4q = 0
16 + -10q = -9 + 0
16 + -10q = -9

Add '-16' to each side of the equation.
16 + -16 + -10q = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -10q = -9 + -16
-10q = -9 + -16

Combine like terms: -9 + -16 = -25
-10q = -25

Divide each side by '-10'.
q = 2.5

Simplifying
q = 2.5

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