(16-3*5)q+13=(2*9-16)q

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Solution for (16-3*5)q+13=(2*9-16)q equation:


Simplifying
(16 + -3 * 5) * q + 13 = (2 * 9 + -16) * q

Multiply -3 * 5
(16 + -15) * q + 13 = (2 * 9 + -16) * q

Combine like terms: 16 + -15 = 1
(1) * q + 13 = (2 * 9 + -16) * q

Reorder the terms:
13 + 1q = (2 * 9 + -16) * q

Multiply 2 * 9
13 + 1q = (18 + -16) * q

Combine like terms: 18 + -16 = 2
13 + 1q = (2) * q

Solving
13 + 1q = 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
13 + 1q + -2q = 2q + -2q

Combine like terms: 1q + -2q = -1q
13 + -1q = 2q + -2q

Combine like terms: 2q + -2q = 0
13 + -1q = 0

Add '-13' to each side of the equation.
13 + -13 + -1q = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1q = 0 + -13
-1q = 0 + -13

Combine like terms: 0 + -13 = -13
-1q = -13

Divide each side by '-1'.
q = 13

Simplifying
q = 13

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