3(n+6)=7n+38

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Solution for 3(n+6)=7n+38 equation:


Simplifying
3(n + 6) = 7n + 38

Reorder the terms:
3(6 + n) = 7n + 38
(6 * 3 + n * 3) = 7n + 38
(18 + 3n) = 7n + 38

Reorder the terms:
18 + 3n = 38 + 7n

Solving
18 + 3n = 38 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
18 + 3n + -7n = 38 + 7n + -7n

Combine like terms: 3n + -7n = -4n
18 + -4n = 38 + 7n + -7n

Combine like terms: 7n + -7n = 0
18 + -4n = 38 + 0
18 + -4n = 38

Add '-18' to each side of the equation.
18 + -18 + -4n = 38 + -18

Combine like terms: 18 + -18 = 0
0 + -4n = 38 + -18
-4n = 38 + -18

Combine like terms: 38 + -18 = 20
-4n = 20

Divide each side by '-4'.
n = -5

Simplifying
n = -5

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