n-2=5(2n)

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Solution for n-2=5(2n) equation:


Simplifying
n + -2 = 5(2n)

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

Remove parenthesis around (2n)
-2 + n = 5 * 2n

Multiply 5 * 2
-2 + n = 10n

Solving
-2 + n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-2 + n + -10n = 10n + -10n

Combine like terms: n + -10n = -9n
-2 + -9n = 10n + -10n

Combine like terms: 10n + -10n = 0
-2 + -9n = 0

Add '2' to each side of the equation.
-2 + 2 + -9n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9n = 0 + 2
-9n = 0 + 2

Combine like terms: 0 + 2 = 2
-9n = 2

Divide each side by '-9'.
n = -0.2222222222

Simplifying
n = -0.2222222222

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