0.2(n+4)=0.6(n-1)+0.2

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Solution for 0.2(n+4)=0.6(n-1)+0.2 equation:


Simplifying
0.2(n + 4) = 0.6(n + -1) + 0.2

Reorder the terms:
0.2(4 + n) = 0.6(n + -1) + 0.2
(4 * 0.2 + n * 0.2) = 0.6(n + -1) + 0.2
(0.8 + 0.2n) = 0.6(n + -1) + 0.2

Reorder the terms:
0.8 + 0.2n = 0.6(-1 + n) + 0.2
0.8 + 0.2n = (-1 * 0.6 + n * 0.6) + 0.2
0.8 + 0.2n = (-0.6 + 0.6n) + 0.2

Reorder the terms:
0.8 + 0.2n = -0.6 + 0.2 + 0.6n

Combine like terms: -0.6 + 0.2 = -0.4
0.8 + 0.2n = -0.4 + 0.6n

Solving
0.8 + 0.2n = -0.4 + 0.6n

Solving for variable 'n'.

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

Add '-0.6n' to each side of the equation.
0.8 + 0.2n + -0.6n = -0.4 + 0.6n + -0.6n

Combine like terms: 0.2n + -0.6n = -0.4n
0.8 + -0.4n = -0.4 + 0.6n + -0.6n

Combine like terms: 0.6n + -0.6n = 0.0
0.8 + -0.4n = -0.4 + 0.0
0.8 + -0.4n = -0.4

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

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

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

Divide each side by '-0.4'.
n = 3

Simplifying
n = 3

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