9+2(12q+5)=13q-17+17q

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Solution for 9+2(12q+5)=13q-17+17q equation:


Simplifying
9 + 2(12q + 5) = 13q + -17 + 17q

Reorder the terms:
9 + 2(5 + 12q) = 13q + -17 + 17q
9 + (5 * 2 + 12q * 2) = 13q + -17 + 17q
9 + (10 + 24q) = 13q + -17 + 17q

Combine like terms: 9 + 10 = 19
19 + 24q = 13q + -17 + 17q

Reorder the terms:
19 + 24q = -17 + 13q + 17q

Combine like terms: 13q + 17q = 30q
19 + 24q = -17 + 30q

Solving
19 + 24q = -17 + 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.
19 + 24q + -30q = -17 + 30q + -30q

Combine like terms: 24q + -30q = -6q
19 + -6q = -17 + 30q + -30q

Combine like terms: 30q + -30q = 0
19 + -6q = -17 + 0
19 + -6q = -17

Add '-19' to each side of the equation.
19 + -19 + -6q = -17 + -19

Combine like terms: 19 + -19 = 0
0 + -6q = -17 + -19
-6q = -17 + -19

Combine like terms: -17 + -19 = -36
-6q = -36

Divide each side by '-6'.
q = 6

Simplifying
q = 6

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