n+2(n+1)=62-3(n+2)

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Solution for n+2(n+1)=62-3(n+2) equation:


Simplifying
n + 2(n + 1) = 62 + -3(n + 2)

Reorder the terms:
n + 2(1 + n) = 62 + -3(n + 2)
n + (1 * 2 + n * 2) = 62 + -3(n + 2)
n + (2 + 2n) = 62 + -3(n + 2)

Reorder the terms:
2 + n + 2n = 62 + -3(n + 2)

Combine like terms: n + 2n = 3n
2 + 3n = 62 + -3(n + 2)

Reorder the terms:
2 + 3n = 62 + -3(2 + n)
2 + 3n = 62 + (2 * -3 + n * -3)
2 + 3n = 62 + (-6 + -3n)

Combine like terms: 62 + -6 = 56
2 + 3n = 56 + -3n

Solving
2 + 3n = 56 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
2 + 3n + 3n = 56 + -3n + 3n

Combine like terms: 3n + 3n = 6n
2 + 6n = 56 + -3n + 3n

Combine like terms: -3n + 3n = 0
2 + 6n = 56 + 0
2 + 6n = 56

Add '-2' to each side of the equation.
2 + -2 + 6n = 56 + -2

Combine like terms: 2 + -2 = 0
0 + 6n = 56 + -2
6n = 56 + -2

Combine like terms: 56 + -2 = 54
6n = 54

Divide each side by '6'.
n = 9

Simplifying
n = 9

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