33q+11-28q=20q-10+10q-4

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Solution for 33q+11-28q=20q-10+10q-4 equation:


Simplifying
33q + 11 + -28q = 20q + -10 + 10q + -4

Reorder the terms:
11 + 33q + -28q = 20q + -10 + 10q + -4

Combine like terms: 33q + -28q = 5q
11 + 5q = 20q + -10 + 10q + -4

Reorder the terms:
11 + 5q = -10 + -4 + 20q + 10q

Combine like terms: -10 + -4 = -14
11 + 5q = -14 + 20q + 10q

Combine like terms: 20q + 10q = 30q
11 + 5q = -14 + 30q

Solving
11 + 5q = -14 + 30q

Solving for variable 'q'.

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

Add '-30q' to each side of the equation.
11 + 5q + -30q = -14 + 30q + -30q

Combine like terms: 5q + -30q = -25q
11 + -25q = -14 + 30q + -30q

Combine like terms: 30q + -30q = 0
11 + -25q = -14 + 0
11 + -25q = -14

Add '-11' to each side of the equation.
11 + -11 + -25q = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -25q = -14 + -11
-25q = -14 + -11

Combine like terms: -14 + -11 = -25
-25q = -25

Divide each side by '-25'.
q = 1

Simplifying
q = 1

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