3q-16q=7+2[-8q-3]

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Solution for 3q-16q=7+2[-8q-3] equation: 


Simplifying
3q + -16q = 7 + 2[-8q + -3]

Combine like terms: 3q + -16q = -13q
-13q = 7 + 2[-8q + -3]

Reorder the terms:
-13q = 7 + 2[-3 + -8q]
-13q = 7 + [-3 * 2 + -8q * 2]
-13q = 7 + [-6 + -16q]

Combine like terms: 7 + -6 = 1
-13q = 1 + -16q

Solving
-13q = 1 + -16q

Solving for variable 'q'.

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

Add '16q' to each side of the equation.
-13q + 16q = 1 + -16q + 16q

Combine like terms: -13q + 16q = 3q
3q = 1 + -16q + 16q

Combine like terms: -16q + 16q = 0
3q = 1 + 0
3q = 1

Divide each side by '3'.
q = 0.3333333333

Simplifying
q = 0.3333333333

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