2(n+13)=6n-7

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Solution for 2(n+13)=6n-7 equation: 


Simplifying
2(n + 13) = 6n + -7

Reorder the terms:
2(13 + n) = 6n + -7
(13 * 2 + n * 2) = 6n + -7
(26 + 2n) = 6n + -7

Reorder the terms:
26 + 2n = -7 + 6n

Solving
26 + 2n = -7 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
26 + 2n + -6n = -7 + 6n + -6n

Combine like terms: 2n + -6n = -4n
26 + -4n = -7 + 6n + -6n

Combine like terms: 6n + -6n = 0
26 + -4n = -7 + 0
26 + -4n = -7

Add '-26' to each side of the equation.
26 + -26 + -4n = -7 + -26

Combine like terms: 26 + -26 = 0
0 + -4n = -7 + -26
-4n = -7 + -26

Combine like terms: -7 + -26 = -33
-4n = -33

Divide each side by '-4'.
n = 8.25

Simplifying
n = 8.25

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