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

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


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

Reorder the terms:
-1(3 + q) = -5(2 + -1q) + -9q
(3 * -1 + q * -1) = -5(2 + -1q) + -9q
(-3 + -1q) = -5(2 + -1q) + -9q
-3 + -1q = (2 * -5 + -1q * -5) + -9q
-3 + -1q = (-10 + 5q) + -9q

Combine like terms: 5q + -9q = -4q
-3 + -1q = -10 + -4q

Solving
-3 + -1q = -10 + -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.
-3 + -1q + 4q = -10 + -4q + 4q

Combine like terms: -1q + 4q = 3q
-3 + 3q = -10 + -4q + 4q

Combine like terms: -4q + 4q = 0
-3 + 3q = -10 + 0
-3 + 3q = -10

Add '3' to each side of the equation.
-3 + 3 + 3q = -10 + 3

Combine like terms: -3 + 3 = 0
0 + 3q = -10 + 3
3q = -10 + 3

Combine like terms: -10 + 3 = -7
3q = -7

Divide each side by '3'.
q = -2.333333333

Simplifying
q = -2.333333333

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