11(q-3)=5q+15

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Solution for 11(q-3)=5q+15 equation:


Simplifying
11(q + -3) = 5q + 15

Reorder the terms:
11(-3 + q) = 5q + 15
(-3 * 11 + q * 11) = 5q + 15
(-33 + 11q) = 5q + 15

Reorder the terms:
-33 + 11q = 15 + 5q

Solving
-33 + 11q = 15 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
-33 + 11q + -5q = 15 + 5q + -5q

Combine like terms: 11q + -5q = 6q
-33 + 6q = 15 + 5q + -5q

Combine like terms: 5q + -5q = 0
-33 + 6q = 15 + 0
-33 + 6q = 15

Add '33' to each side of the equation.
-33 + 33 + 6q = 15 + 33

Combine like terms: -33 + 33 = 0
0 + 6q = 15 + 33
6q = 15 + 33

Combine like terms: 15 + 33 = 48
6q = 48

Divide each side by '6'.
q = 8

Simplifying
q = 8

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