9q-14+3(q-11)=23

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Solution for 9q-14+3(q-11)=23 equation:


Simplifying
9q + -14 + 3(q + -11) = 23

Reorder the terms:
9q + -14 + 3(-11 + q) = 23
9q + -14 + (-11 * 3 + q * 3) = 23
9q + -14 + (-33 + 3q) = 23

Reorder the terms:
-14 + -33 + 9q + 3q = 23

Combine like terms: -14 + -33 = -47
-47 + 9q + 3q = 23

Combine like terms: 9q + 3q = 12q
-47 + 12q = 23

Solving
-47 + 12q = 23

Solving for variable 'q'.

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

Add '47' to each side of the equation.
-47 + 47 + 12q = 23 + 47

Combine like terms: -47 + 47 = 0
0 + 12q = 23 + 47
12q = 23 + 47

Combine like terms: 23 + 47 = 70
12q = 70

Divide each side by '12'.
q = 5.833333333

Simplifying
q = 5.833333333

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