11(3-2q)=3(9-7q)+q

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Solution for 11(3-2q)=3(9-7q)+q equation: 


Simplifying
11(3 + -2q) = 3(9 + -7q) + q
(3 * 11 + -2q * 11) = 3(9 + -7q) + q
(33 + -22q) = 3(9 + -7q) + q
33 + -22q = (9 * 3 + -7q * 3) + q
33 + -22q = (27 + -21q) + q

Combine like terms: -21q + q = -20q
33 + -22q = 27 + -20q

Solving
33 + -22q = 27 + -20q

Solving for variable 'q'.

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

Add '20q' to each side of the equation.
33 + -22q + 20q = 27 + -20q + 20q

Combine like terms: -22q + 20q = -2q
33 + -2q = 27 + -20q + 20q

Combine like terms: -20q + 20q = 0
33 + -2q = 27 + 0
33 + -2q = 27

Add '-33' to each side of the equation.
33 + -33 + -2q = 27 + -33

Combine like terms: 33 + -33 = 0
0 + -2q = 27 + -33
-2q = 27 + -33

Combine like terms: 27 + -33 = -6
-2q = -6

Divide each side by '-2'.
q = 3

Simplifying
q = 3

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