(n+7)+(n+3)+(n+3)+n=40

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Solution for (n+7)+(n+3)+(n+3)+n=40 equation:


Simplifying
(n + 7) + (n + 3) + (n + 3) + n = 40

Reorder the terms:
(7 + n) + (n + 3) + (n + 3) + n = 40

Remove parenthesis around (7 + n)
7 + n + (n + 3) + (n + 3) + n = 40

Reorder the terms:
7 + n + (3 + n) + (n + 3) + n = 40

Remove parenthesis around (3 + n)
7 + n + 3 + n + (n + 3) + n = 40

Reorder the terms:
7 + n + 3 + n + (3 + n) + n = 40

Remove parenthesis around (3 + n)
7 + n + 3 + n + 3 + n + n = 40

Reorder the terms:
7 + 3 + 3 + n + n + n + n = 40

Combine like terms: 7 + 3 = 10
10 + 3 + n + n + n + n = 40

Combine like terms: 10 + 3 = 13
13 + n + n + n + n = 40

Combine like terms: n + n = 2n
13 + 2n + n + n = 40

Combine like terms: 2n + n = 3n
13 + 3n + n = 40

Combine like terms: 3n + n = 4n
13 + 4n = 40

Solving
13 + 4n = 40

Solving for variable 'n'.

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

Add '-13' to each side of the equation.
13 + -13 + 4n = 40 + -13

Combine like terms: 13 + -13 = 0
0 + 4n = 40 + -13
4n = 40 + -13

Combine like terms: 40 + -13 = 27
4n = 27

Divide each side by '4'.
n = 6.75

Simplifying
n = 6.75

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