41-q=3(q-6)

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Solution for 41-q=3(q-6) equation:


Simplifying
41 + -1q = 3(q + -6)

Reorder the terms:
41 + -1q = 3(-6 + q)
41 + -1q = (-6 * 3 + q * 3)
41 + -1q = (-18 + 3q)

Solving
41 + -1q = -18 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
41 + -1q + -3q = -18 + 3q + -3q

Combine like terms: -1q + -3q = -4q
41 + -4q = -18 + 3q + -3q

Combine like terms: 3q + -3q = 0
41 + -4q = -18 + 0
41 + -4q = -18

Add '-41' to each side of the equation.
41 + -41 + -4q = -18 + -41

Combine like terms: 41 + -41 = 0
0 + -4q = -18 + -41
-4q = -18 + -41

Combine like terms: -18 + -41 = -59
-4q = -59

Divide each side by '-4'.
q = 14.75

Simplifying
q = 14.75

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