5(n+5)=2n+4

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Solution for 5(n+5)=2n+4 equation:


Simplifying
5(n + 5) = 2n + 4

Reorder the terms:
5(5 + n) = 2n + 4
(5 * 5 + n * 5) = 2n + 4
(25 + 5n) = 2n + 4

Reorder the terms:
25 + 5n = 4 + 2n

Solving
25 + 5n = 4 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
25 + 5n + -2n = 4 + 2n + -2n

Combine like terms: 5n + -2n = 3n
25 + 3n = 4 + 2n + -2n

Combine like terms: 2n + -2n = 0
25 + 3n = 4 + 0
25 + 3n = 4

Add '-25' to each side of the equation.
25 + -25 + 3n = 4 + -25

Combine like terms: 25 + -25 = 0
0 + 3n = 4 + -25
3n = 4 + -25

Combine like terms: 4 + -25 = -21
3n = -21

Divide each side by '3'.
n = -7

Simplifying
n = -7

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