2(n+1)+3(n+2)=104

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Solution for 2(n+1)+3(n+2)=104 equation:


Simplifying
2(n + 1) + 3(n + 2) = 104

Reorder the terms:
2(1 + n) + 3(n + 2) = 104
(1 * 2 + n * 2) + 3(n + 2) = 104
(2 + 2n) + 3(n + 2) = 104

Reorder the terms:
2 + 2n + 3(2 + n) = 104
2 + 2n + (2 * 3 + n * 3) = 104
2 + 2n + (6 + 3n) = 104

Reorder the terms:
2 + 6 + 2n + 3n = 104

Combine like terms: 2 + 6 = 8
8 + 2n + 3n = 104

Combine like terms: 2n + 3n = 5n
8 + 5n = 104

Solving
8 + 5n = 104

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + 5n = 104 + -8

Combine like terms: 8 + -8 = 0
0 + 5n = 104 + -8
5n = 104 + -8

Combine like terms: 104 + -8 = 96
5n = 96

Divide each side by '5'.
n = 19.2

Simplifying
n = 19.2

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