3(9-2)+2=5q-7-2q

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Solution for 3(9-2)+2=5q-7-2q equation: 


Simplifying
3(9 + -2) + 2 = 5q + -7 + -2q

Combine like terms: 9 + -2 = 7
3(7) + 2 = 5q + -7 + -2q

Multiply 3 * 7
21 + 2 = 5q + -7 + -2q

Combine like terms: 21 + 2 = 23
23 = 5q + -7 + -2q

Reorder the terms:
23 = -7 + 5q + -2q

Combine like terms: 5q + -2q = 3q
23 = -7 + 3q

Solving
23 = -7 + 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.
23 + -3q = -7 + 3q + -3q

Combine like terms: 3q + -3q = 0
23 + -3q = -7 + 0
23 + -3q = -7

Add '-23' to each side of the equation.
23 + -23 + -3q = -7 + -23

Combine like terms: 23 + -23 = 0
0 + -3q = -7 + -23
-3q = -7 + -23

Combine like terms: -7 + -23 = -30
-3q = -30

Divide each side by '-3'.
q = 10

Simplifying
q = 10

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