(2-3q)-4(5-6q)=3q

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Solution for (2-3q)-4(5-6q)=3q equation: 


Simplifying
(2 + -3q) + -4(5 + -6q) = 3q

Remove parenthesis around (2 + -3q)
2 + -3q + -4(5 + -6q) = 3q
2 + -3q + (5 * -4 + -6q * -4) = 3q
2 + -3q + (-20 + 24q) = 3q

Reorder the terms:
2 + -20 + -3q + 24q = 3q

Combine like terms: 2 + -20 = -18
-18 + -3q + 24q = 3q

Combine like terms: -3q + 24q = 21q
-18 + 21q = 3q

Solving
-18 + 21q = 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
-18 + 21q + -3q = 3q + -3q

Combine like terms: 21q + -3q = 18q
-18 + 18q = 3q + -3q

Combine like terms: 3q + -3q = 0
-18 + 18q = 0

Add '18' to each side of the equation.
-18 + 18 + 18q = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 18q = 0 + 18
18q = 0 + 18

Combine like terms: 0 + 18 = 18
18q = 18

Divide each side by '18'.
q = 1

Simplifying
q = 1

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