.375n+5(n-6)=1.875n-2

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Solution for .375n+5(n-6)=1.875n-2 equation:


Simplifying
0.375n + 5(n + -6) = 1.875n + -2

Reorder the terms:
0.375n + 5(-6 + n) = 1.875n + -2
0.375n + (-6 * 5 + n * 5) = 1.875n + -2
0.375n + (-30 + 5n) = 1.875n + -2

Reorder the terms:
-30 + 0.375n + 5n = 1.875n + -2

Combine like terms: 0.375n + 5n = 5.375n
-30 + 5.375n = 1.875n + -2

Reorder the terms:
-30 + 5.375n = -2 + 1.875n

Solving
-30 + 5.375n = -2 + 1.875n

Solving for variable 'n'.

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

Add '-1.875n' to each side of the equation.
-30 + 5.375n + -1.875n = -2 + 1.875n + -1.875n

Combine like terms: 5.375n + -1.875n = 3.5n
-30 + 3.5n = -2 + 1.875n + -1.875n

Combine like terms: 1.875n + -1.875n = 0.000
-30 + 3.5n = -2 + 0.000
-30 + 3.5n = -2

Add '30' to each side of the equation.
-30 + 30 + 3.5n = -2 + 30

Combine like terms: -30 + 30 = 0
0 + 3.5n = -2 + 30
3.5n = -2 + 30

Combine like terms: -2 + 30 = 28
3.5n = 28

Divide each side by '3.5'.
n = 8

Simplifying
n = 8

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