n+(n+4)+(n+7)=74

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Solution for n+(n+4)+(n+7)=74 equation:


Simplifying
n + (n + 4) + (n + 7) = 74

Reorder the terms:
n + (4 + n) + (n + 7) = 74

Remove parenthesis around (4 + n)
n + 4 + n + (n + 7) = 74

Reorder the terms:
n + 4 + n + (7 + n) = 74

Remove parenthesis around (7 + n)
n + 4 + n + 7 + n = 74

Reorder the terms:
4 + 7 + n + n + n = 74

Combine like terms: 4 + 7 = 11
11 + n + n + n = 74

Combine like terms: n + n = 2n
11 + 2n + n = 74

Combine like terms: 2n + n = 3n
11 + 3n = 74

Solving
11 + 3n = 74

Solving for variable 'n'.

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

Add '-11' to each side of the equation.
11 + -11 + 3n = 74 + -11

Combine like terms: 11 + -11 = 0
0 + 3n = 74 + -11
3n = 74 + -11

Combine like terms: 74 + -11 = 63
3n = 63

Divide each side by '3'.
n = 21

Simplifying
n = 21

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