3+2q-(4q+9)-(5q+6)=

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Solution for 3+2q-(4q+9)-(5q+6)= equation:


Simplifying
3 + 2q + -1(4q + 9) + -1(5q + 6) = 0

Reorder the terms:
3 + 2q + -1(9 + 4q) + -1(5q + 6) = 0
3 + 2q + (9 * -1 + 4q * -1) + -1(5q + 6) = 0
3 + 2q + (-9 + -4q) + -1(5q + 6) = 0

Reorder the terms:
3 + 2q + -9 + -4q + -1(6 + 5q) = 0
3 + 2q + -9 + -4q + (6 * -1 + 5q * -1) = 0
3 + 2q + -9 + -4q + (-6 + -5q) = 0

Reorder the terms:
3 + -9 + -6 + 2q + -4q + -5q = 0

Combine like terms: 3 + -9 = -6
-6 + -6 + 2q + -4q + -5q = 0

Combine like terms: -6 + -6 = -12
-12 + 2q + -4q + -5q = 0

Combine like terms: 2q + -4q = -2q
-12 + -2q + -5q = 0

Combine like terms: -2q + -5q = -7q
-12 + -7q = 0

Solving
-12 + -7q = 0

Solving for variable 'q'.

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

Add '12' to each side of the equation.
-12 + 12 + -7q = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7q = 0 + 12
-7q = 0 + 12

Combine like terms: 0 + 12 = 12
-7q = 12

Divide each side by '-7'.
q = -1.714285714

Simplifying
q = -1.714285714

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