7q-(46)=3q+6

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Solution for 7q-(46)=3q+6 equation:


Simplifying
7q + -1(46) = 3q + 6

Multiply -1 * 46
7q + -46 = 3q + 6

Reorder the terms:
-46 + 7q = 3q + 6

Reorder the terms:
-46 + 7q = 6 + 3q

Solving
-46 + 7q = 6 + 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.
-46 + 7q + -3q = 6 + 3q + -3q

Combine like terms: 7q + -3q = 4q
-46 + 4q = 6 + 3q + -3q

Combine like terms: 3q + -3q = 0
-46 + 4q = 6 + 0
-46 + 4q = 6

Add '46' to each side of the equation.
-46 + 46 + 4q = 6 + 46

Combine like terms: -46 + 46 = 0
0 + 4q = 6 + 46
4q = 6 + 46

Combine like terms: 6 + 46 = 52
4q = 52

Divide each side by '4'.
q = 13

Simplifying
q = 13

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