5+(n-4)=3(n+2)

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Solution for 5+(n-4)=3(n+2) equation:


Simplifying
5 + (n + -4) = 3(n + 2)

Reorder the terms:
5 + (-4 + n) = 3(n + 2)

Remove parenthesis around (-4 + n)
5 + -4 + n = 3(n + 2)

Combine like terms: 5 + -4 = 1
1 + n = 3(n + 2)

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

Solving
1 + n = 6 + 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.
1 + n + -3n = 6 + 3n + -3n

Combine like terms: n + -3n = -2n
1 + -2n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
1 + -2n = 6 + 0
1 + -2n = 6

Add '-1' to each side of the equation.
1 + -1 + -2n = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 6 + -1
-2n = 6 + -1

Combine like terms: 6 + -1 = 5
-2n = 5

Divide each side by '-2'.
n = -2.5

Simplifying
n = -2.5

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