5=6(q-5)-19

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Solution for 5=6(q-5)-19 equation:


Simplifying
5 = 6(q + -5) + -19

Reorder the terms:
5 = 6(-5 + q) + -19
5 = (-5 * 6 + q * 6) + -19
5 = (-30 + 6q) + -19

Reorder the terms:
5 = -30 + -19 + 6q

Combine like terms: -30 + -19 = -49
5 = -49 + 6q

Solving
5 = -49 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
5 + -6q = -49 + 6q + -6q

Combine like terms: 6q + -6q = 0
5 + -6q = -49 + 0
5 + -6q = -49

Add '-5' to each side of the equation.
5 + -5 + -6q = -49 + -5

Combine like terms: 5 + -5 = 0
0 + -6q = -49 + -5
-6q = -49 + -5

Combine like terms: -49 + -5 = -54
-6q = -54

Divide each side by '-6'.
q = 9

Simplifying
q = 9

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