0.8(n-8)=-2.2(n+1)

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Solution for 0.8(n-8)=-2.2(n+1) equation: 


Simplifying
0.8(n + -8) = -2.2(n + 1)

Reorder the terms:
0.8(-8 + n) = -2.2(n + 1)
(-8 * 0.8 + n * 0.8) = -2.2(n + 1)
(-6.4 + 0.8n) = -2.2(n + 1)

Reorder the terms:
-6.4 + 0.8n = -2.2(1 + n)
-6.4 + 0.8n = (1 * -2.2 + n * -2.2)
-6.4 + 0.8n = (-2.2 + -2.2n)

Solving
-6.4 + 0.8n = -2.2 + -2.2n

Solving for variable 'n'.

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

Add '2.2n' to each side of the equation.
-6.4 + 0.8n + 2.2n = -2.2 + -2.2n + 2.2n

Combine like terms: 0.8n + 2.2n = 3n
-6.4 + 3n = -2.2 + -2.2n + 2.2n

Combine like terms: -2.2n + 2.2n = 0.0
-6.4 + 3n = -2.2 + 0.0
-6.4 + 3n = -2.2

Add '6.4' to each side of the equation.
-6.4 + 6.4 + 3n = -2.2 + 6.4

Combine like terms: -6.4 + 6.4 = 0.0
0.0 + 3n = -2.2 + 6.4
3n = -2.2 + 6.4

Combine like terms: -2.2 + 6.4 = 4.2
3n = 4.2

Divide each side by '3'.
n = 1.4

Simplifying
n = 1.4

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