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

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


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

Reorder the terms:
5(3 + 5n) = 14n + -29
(3 * 5 + 5n * 5) = 14n + -29
(15 + 25n) = 14n + -29

Reorder the terms:
15 + 25n = -29 + 14n

Solving
15 + 25n = -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 + 25n + -14n = -29 + 14n + -14n

Combine like terms: 25n + -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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