q-(3q-3)=-4q+9

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


Simplifying
q + -1(3q + -3) = -4q + 9

Reorder the terms:
q + -1(-3 + 3q) = -4q + 9
q + (-3 * -1 + 3q * -1) = -4q + 9
q + (3 + -3q) = -4q + 9

Reorder the terms:
3 + q + -3q = -4q + 9

Combine like terms: q + -3q = -2q
3 + -2q = -4q + 9

Reorder the terms:
3 + -2q = 9 + -4q

Solving
3 + -2q = 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.
3 + -2q + 4q = 9 + -4q + 4q

Combine like terms: -2q + 4q = 2q
3 + 2q = 9 + -4q + 4q

Combine like terms: -4q + 4q = 0
3 + 2q = 9 + 0
3 + 2q = 9

Add '-3' to each side of the equation.
3 + -3 + 2q = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 2q = 9 + -3
2q = 9 + -3

Combine like terms: 9 + -3 = 6
2q = 6

Divide each side by '2'.
q = 3

Simplifying
q = 3

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