(-16)(2-q)+9=20q+13

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Solution for (-16)(2-q)+9=20q+13 equation:


Simplifying
(-16)(2 + -1q) + 9 = 20q + 13
(2 * -16 + -1q * -16) + 9 = 20q + 13
(-32 + 16q) + 9 = 20q + 13

Reorder the terms:
-32 + 9 + 16q = 20q + 13

Combine like terms: -32 + 9 = -23
-23 + 16q = 20q + 13

Reorder the terms:
-23 + 16q = 13 + 20q

Solving
-23 + 16q = 13 + 20q

Solving for variable 'q'.

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

Add '-20q' to each side of the equation.
-23 + 16q + -20q = 13 + 20q + -20q

Combine like terms: 16q + -20q = -4q
-23 + -4q = 13 + 20q + -20q

Combine like terms: 20q + -20q = 0
-23 + -4q = 13 + 0
-23 + -4q = 13

Add '23' to each side of the equation.
-23 + 23 + -4q = 13 + 23

Combine like terms: -23 + 23 = 0
0 + -4q = 13 + 23
-4q = 13 + 23

Combine like terms: 13 + 23 = 36
-4q = 36

Divide each side by '-4'.
q = -9

Simplifying
q = -9

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