7q-3(q-6)=6q

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Solution for 7q-3(q-6)=6q equation:


Simplifying
7q + -3(q + -6) = 6q

Reorder the terms:
7q + -3(-6 + q) = 6q
7q + (-6 * -3 + q * -3) = 6q
7q + (18 + -3q) = 6q

Reorder the terms:
18 + 7q + -3q = 6q

Combine like terms: 7q + -3q = 4q
18 + 4q = 6q

Solving
18 + 4q = 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.
18 + 4q + -6q = 6q + -6q

Combine like terms: 4q + -6q = -2q
18 + -2q = 6q + -6q

Combine like terms: 6q + -6q = 0
18 + -2q = 0

Add '-18' to each side of the equation.
18 + -18 + -2q = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -2q = 0 + -18
-2q = 0 + -18

Combine like terms: 0 + -18 = -18
-2q = -18

Divide each side by '-2'.
q = 9

Simplifying
q = 9

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