-8.2+22.2n=1.4(7n+3)

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Solution for -8.2+22.2n=1.4(7n+3) equation: 


Simplifying
-8.2 + 22.2n = 1.4(7n + 3)

Reorder the terms:
-8.2 + 22.2n = 1.4(3 + 7n)
-8.2 + 22.2n = (3 * 1.4 + 7n * 1.4)
-8.2 + 22.2n = (4.2 + 9.8n)

Solving
-8.2 + 22.2n = 4.2 + 9.8n

Solving for variable 'n'.

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

Add '-9.8n' to each side of the equation.
-8.2 + 22.2n + -9.8n = 4.2 + 9.8n + -9.8n

Combine like terms: 22.2n + -9.8n = 12.4n
-8.2 + 12.4n = 4.2 + 9.8n + -9.8n

Combine like terms: 9.8n + -9.8n = 0.0
-8.2 + 12.4n = 4.2 + 0.0
-8.2 + 12.4n = 4.2

Add '8.2' to each side of the equation.
-8.2 + 8.2 + 12.4n = 4.2 + 8.2

Combine like terms: -8.2 + 8.2 = 0.0
0.0 + 12.4n = 4.2 + 8.2
12.4n = 4.2 + 8.2

Combine like terms: 4.2 + 8.2 = 12.4
12.4n = 12.4

Divide each side by '12.4'.
n = 1

Simplifying
n = 1

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