12-(3q-5)=4q-11

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Solution for 12-(3q-5)=4q-11 equation:


Simplifying
12 + -1(3q + -5) = 4q + -11

Reorder the terms:
12 + -1(-5 + 3q) = 4q + -11
12 + (-5 * -1 + 3q * -1) = 4q + -11
12 + (5 + -3q) = 4q + -11

Combine like terms: 12 + 5 = 17
17 + -3q = 4q + -11

Reorder the terms:
17 + -3q = -11 + 4q

Solving
17 + -3q = -11 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
17 + -3q + -4q = -11 + 4q + -4q

Combine like terms: -3q + -4q = -7q
17 + -7q = -11 + 4q + -4q

Combine like terms: 4q + -4q = 0
17 + -7q = -11 + 0
17 + -7q = -11

Add '-17' to each side of the equation.
17 + -17 + -7q = -11 + -17

Combine like terms: 17 + -17 = 0
0 + -7q = -11 + -17
-7q = -11 + -17

Combine like terms: -11 + -17 = -28
-7q = -28

Divide each side by '-7'.
q = 4

Simplifying
q = 4

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