(3n+1)=2(n+4)

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Solution for (3n+1)=2(n+4) equation:


Simplifying
(3n + 1) = 2(n + 4)

Reorder the terms:
(1 + 3n) = 2(n + 4)

Remove parenthesis around (1 + 3n)
1 + 3n = 2(n + 4)

Reorder the terms:
1 + 3n = 2(4 + n)
1 + 3n = (4 * 2 + n * 2)
1 + 3n = (8 + 2n)

Solving
1 + 3n = 8 + 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.
1 + 3n + -2n = 8 + 2n + -2n

Combine like terms: 3n + -2n = 1n
1 + 1n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 1n = 8 + 0
1 + 1n = 8

Add '-1' to each side of the equation.
1 + -1 + 1n = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 1n = 8 + -1
1n = 8 + -1

Combine like terms: 8 + -1 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7

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