(n-1500)+n=5(n-1900)

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Solution for (n-1500)+n=5(n-1900) equation:


Simplifying
(n + -1500) + n = 5(n + -1900)

Reorder the terms:
(-1500 + n) + n = 5(n + -1900)

Remove parenthesis around (-1500 + n)
-1500 + n + n = 5(n + -1900)

Combine like terms: n + n = 2n
-1500 + 2n = 5(n + -1900)

Reorder the terms:
-1500 + 2n = 5(-1900 + n)
-1500 + 2n = (-1900 * 5 + n * 5)
-1500 + 2n = (-9500 + 5n)

Solving
-1500 + 2n = -9500 + 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.
-1500 + 2n + -5n = -9500 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-1500 + -3n = -9500 + 5n + -5n

Combine like terms: 5n + -5n = 0
-1500 + -3n = -9500 + 0
-1500 + -3n = -9500

Add '1500' to each side of the equation.
-1500 + 1500 + -3n = -9500 + 1500

Combine like terms: -1500 + 1500 = 0
0 + -3n = -9500 + 1500
-3n = -9500 + 1500

Combine like terms: -9500 + 1500 = -8000
-3n = -8000

Divide each side by '-3'.
n = 2666.666667

Simplifying
n = 2666.666667

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