3(q-3)=4(3-4q)

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


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

Reorder the terms:
3(-3 + q) = 4(3 + -4q)
(-3 * 3 + q * 3) = 4(3 + -4q)
(-9 + 3q) = 4(3 + -4q)
-9 + 3q = (3 * 4 + -4q * 4)
-9 + 3q = (12 + -16q)

Solving
-9 + 3q = 12 + -16q

Solving for variable 'q'.

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

Add '16q' to each side of the equation.
-9 + 3q + 16q = 12 + -16q + 16q

Combine like terms: 3q + 16q = 19q
-9 + 19q = 12 + -16q + 16q

Combine like terms: -16q + 16q = 0
-9 + 19q = 12 + 0
-9 + 19q = 12

Add '9' to each side of the equation.
-9 + 9 + 19q = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 19q = 12 + 9
19q = 12 + 9

Combine like terms: 12 + 9 = 21
19q = 21

Divide each side by '19'.
q = 1.105263158

Simplifying
q = 1.105263158

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