4(q-8)+6=3(q+6)-q

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Solution for 4(q-8)+6=3(q+6)-q equation: 


Simplifying
4(q + -8) + 6 = 3(q + 6) + -1q

Reorder the terms:
4(-8 + q) + 6 = 3(q + 6) + -1q
(-8 * 4 + q * 4) + 6 = 3(q + 6) + -1q
(-32 + 4q) + 6 = 3(q + 6) + -1q

Reorder the terms:
-32 + 6 + 4q = 3(q + 6) + -1q

Combine like terms: -32 + 6 = -26
-26 + 4q = 3(q + 6) + -1q

Reorder the terms:
-26 + 4q = 3(6 + q) + -1q
-26 + 4q = (6 * 3 + q * 3) + -1q
-26 + 4q = (18 + 3q) + -1q

Combine like terms: 3q + -1q = 2q
-26 + 4q = 18 + 2q

Solving
-26 + 4q = 18 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
-26 + 4q + -2q = 18 + 2q + -2q

Combine like terms: 4q + -2q = 2q
-26 + 2q = 18 + 2q + -2q

Combine like terms: 2q + -2q = 0
-26 + 2q = 18 + 0
-26 + 2q = 18

Add '26' to each side of the equation.
-26 + 26 + 2q = 18 + 26

Combine like terms: -26 + 26 = 0
0 + 2q = 18 + 26
2q = 18 + 26

Combine like terms: 18 + 26 = 44
2q = 44

Divide each side by '2'.
q = 22

Simplifying
q = 22

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