3(n+5)=14n-29

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Solution for 3(n+5)=14n-29 equation: 


Simplifying
3(n + 5) = 14n + -29

Reorder the terms:
3(5 + n) = 14n + -29
(5 * 3 + n * 3) = 14n + -29
(15 + 3n) = 14n + -29

Reorder the terms:
15 + 3n = -29 + 14n

Solving
15 + 3n = -29 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
15 + 3n + -14n = -29 + 14n + -14n

Combine like terms: 3n + -14n = -11n
15 + -11n = -29 + 14n + -14n

Combine like terms: 14n + -14n = 0
15 + -11n = -29 + 0
15 + -11n = -29

Add '-15' to each side of the equation.
15 + -15 + -11n = -29 + -15

Combine like terms: 15 + -15 = 0
0 + -11n = -29 + -15
-11n = -29 + -15

Combine like terms: -29 + -15 = -44
-11n = -44

Divide each side by '-11'.
n = 4

Simplifying
n = 4

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