6(n+5)+8=2+4(1+n)

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Solution for 6(n+5)+8=2+4(1+n) equation:


Simplifying
6(n + 5) + 8 = 2 + 4(1 + n)

Reorder the terms:
6(5 + n) + 8 = 2 + 4(1 + n)
(5 * 6 + n * 6) + 8 = 2 + 4(1 + n)
(30 + 6n) + 8 = 2 + 4(1 + n)

Reorder the terms:
30 + 8 + 6n = 2 + 4(1 + n)

Combine like terms: 30 + 8 = 38
38 + 6n = 2 + 4(1 + n)
38 + 6n = 2 + (1 * 4 + n * 4)
38 + 6n = 2 + (4 + 4n)

Combine like terms: 2 + 4 = 6
38 + 6n = 6 + 4n

Solving
38 + 6n = 6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
38 + 6n + -4n = 6 + 4n + -4n

Combine like terms: 6n + -4n = 2n
38 + 2n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
38 + 2n = 6 + 0
38 + 2n = 6

Add '-38' to each side of the equation.
38 + -38 + 2n = 6 + -38

Combine like terms: 38 + -38 = 0
0 + 2n = 6 + -38
2n = 6 + -38

Combine like terms: 6 + -38 = -32
2n = -32

Divide each side by '2'.
n = -16

Simplifying
n = -16

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