q+(3+q)+(q-6)=63

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Solution for q+(3+q)+(q-6)=63 equation:


Simplifying
q + (3 + q) + (q + -6) = 63

Remove parenthesis around (3 + q)
q + 3 + q + (q + -6) = 63

Reorder the terms:
q + 3 + q + (-6 + q) = 63

Remove parenthesis around (-6 + q)
q + 3 + q + -6 + q = 63

Reorder the terms:
3 + -6 + q + q + q = 63

Combine like terms: 3 + -6 = -3
-3 + q + q + q = 63

Combine like terms: q + q = 2q
-3 + 2q + q = 63

Combine like terms: 2q + q = 3q
-3 + 3q = 63

Solving
-3 + 3q = 63

Solving for variable 'q'.

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

Add '3' to each side of the equation.
-3 + 3 + 3q = 63 + 3

Combine like terms: -3 + 3 = 0
0 + 3q = 63 + 3
3q = 63 + 3

Combine like terms: 63 + 3 = 66
3q = 66

Divide each side by '3'.
q = 22

Simplifying
q = 22

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