0.8-7n=4(2n-0.1)-3n

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Solution for 0.8-7n=4(2n-0.1)-3n equation: 


Simplifying
0.8 + -7n = 4(2n + -0.1) + -3n

Reorder the terms:
0.8 + -7n = 4(-0.1 + 2n) + -3n
0.8 + -7n = (-0.1 * 4 + 2n * 4) + -3n
0.8 + -7n = (-0.4 + 8n) + -3n

Combine like terms: 8n + -3n = 5n
0.8 + -7n = -0.4 + 5n

Solving
0.8 + -7n = -0.4 + 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.
0.8 + -7n + -5n = -0.4 + 5n + -5n

Combine like terms: -7n + -5n = -12n
0.8 + -12n = -0.4 + 5n + -5n

Combine like terms: 5n + -5n = 0
0.8 + -12n = -0.4 + 0
0.8 + -12n = -0.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -12n = -0.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -12n = -0.4 + -0.8
-12n = -0.4 + -0.8

Combine like terms: -0.4 + -0.8 = -1.2
-12n = -1.2

Divide each side by '-12'.
n = 0.1

Simplifying
n = 0.1

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