0.7n-15+n=2n-8-.4n

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Solution for 0.7n-15+n=2n-8-.4n equation:


Simplifying
0.7n + -15 + n = 2n + -8 + -0.4n

Reorder the terms:
-15 + 0.7n + n = 2n + -8 + -0.4n

Combine like terms: 0.7n + n = 1.7n
-15 + 1.7n = 2n + -8 + -0.4n

Reorder the terms:
-15 + 1.7n = -8 + 2n + -0.4n

Combine like terms: 2n + -0.4n = 1.6n
-15 + 1.7n = -8 + 1.6n

Solving
-15 + 1.7n = -8 + 1.6n

Solving for variable 'n'.

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

Add '-1.6n' to each side of the equation.
-15 + 1.7n + -1.6n = -8 + 1.6n + -1.6n

Combine like terms: 1.7n + -1.6n = 0.1n
-15 + 0.1n = -8 + 1.6n + -1.6n

Combine like terms: 1.6n + -1.6n = 0.0
-15 + 0.1n = -8 + 0.0
-15 + 0.1n = -8

Add '15' to each side of the equation.
-15 + 15 + 0.1n = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 0.1n = -8 + 15
0.1n = -8 + 15

Combine like terms: -8 + 15 = 7
0.1n = 7

Divide each side by '0.1'.
n = 70

Simplifying
n = 70

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