q+6(q-4)=24-q

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Solution for q+6(q-4)=24-q equation: 


Simplifying
q + 6(q + -4) = 24 + -1q

Reorder the terms:
q + 6(-4 + q) = 24 + -1q
q + (-4 * 6 + q * 6) = 24 + -1q
q + (-24 + 6q) = 24 + -1q

Reorder the terms:
-24 + q + 6q = 24 + -1q

Combine like terms: q + 6q = 7q
-24 + 7q = 24 + -1q

Solving
-24 + 7q = 24 + -1q

Solving for variable 'q'.

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

Add 'q' to each side of the equation.
-24 + 7q + q = 24 + -1q + q

Combine like terms: 7q + q = 8q
-24 + 8q = 24 + -1q + q

Combine like terms: -1q + q = 0
-24 + 8q = 24 + 0
-24 + 8q = 24

Add '24' to each side of the equation.
-24 + 24 + 8q = 24 + 24

Combine like terms: -24 + 24 = 0
0 + 8q = 24 + 24
8q = 24 + 24

Combine like terms: 24 + 24 = 48
8q = 48

Divide each side by '8'.
q = 6

Simplifying
q = 6

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