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

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


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

Reorder the terms:
4 + 4(2 + n) = 3n + -2(n + -5)
4 + (2 * 4 + n * 4) = 3n + -2(n + -5)
4 + (8 + 4n) = 3n + -2(n + -5)

Combine like terms: 4 + 8 = 12
12 + 4n = 3n + -2(n + -5)

Reorder the terms:
12 + 4n = 3n + -2(-5 + n)
12 + 4n = 3n + (-5 * -2 + n * -2)
12 + 4n = 3n + (10 + -2n)

Reorder the terms:
12 + 4n = 10 + 3n + -2n

Combine like terms: 3n + -2n = 1n
12 + 4n = 10 + 1n

Solving
12 + 4n = 10 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
12 + 4n + -1n = 10 + 1n + -1n

Combine like terms: 4n + -1n = 3n
12 + 3n = 10 + 1n + -1n

Combine like terms: 1n + -1n = 0
12 + 3n = 10 + 0
12 + 3n = 10

Add '-12' to each side of the equation.
12 + -12 + 3n = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = 10 + -12
3n = 10 + -12

Combine like terms: 10 + -12 = -2
3n = -2

Divide each side by '3'.
n = -0.6666666667

Simplifying
n = -0.6666666667

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