2n-4=5*(1+n)

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Solution for 2n-4=5*(1+n) equation:


Simplifying
2n + -4 = 5(1 + n)

Reorder the terms:
-4 + 2n = 5(1 + n)
-4 + 2n = (1 * 5 + n * 5)
-4 + 2n = (5 + 5n)

Solving
-4 + 2n = 5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-4 + 2n + -5n = 5 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
-4 + -3n = 5 + 0
-4 + -3n = 5

Add '4' to each side of the equation.
-4 + 4 + -3n = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -3n = 5 + 4
-3n = 5 + 4

Combine like terms: 5 + 4 = 9
-3n = 9

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

Simplifying
n = -3

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