3(q-4)=3-2q

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


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

Reorder the terms:
3(-4 + q) = 3 + -2q
(-4 * 3 + q * 3) = 3 + -2q
(-12 + 3q) = 3 + -2q

Solving
-12 + 3q = 3 + -2q

Solving for variable 'q'.

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

Add '2q' to each side of the equation.
-12 + 3q + 2q = 3 + -2q + 2q

Combine like terms: 3q + 2q = 5q
-12 + 5q = 3 + -2q + 2q

Combine like terms: -2q + 2q = 0
-12 + 5q = 3 + 0
-12 + 5q = 3

Add '12' to each side of the equation.
-12 + 12 + 5q = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5q = 3 + 12
5q = 3 + 12

Combine like terms: 3 + 12 = 15
5q = 15

Divide each side by '5'.
q = 3

Simplifying
q = 3

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