5(1.2n+6)=7.1n+34.4

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Solution for 5(1.2n+6)=7.1n+34.4 equation: 


Simplifying
5(1.2n + 6) = 7.1n + 34.4

Reorder the terms:
5(6 + 1.2n) = 7.1n + 34.4
(6 * 5 + 1.2n * 5) = 7.1n + 34.4
(30 + 6n) = 7.1n + 34.4

Reorder the terms:
30 + 6n = 34.4 + 7.1n

Solving
30 + 6n = 34.4 + 7.1n

Solving for variable 'n'.

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

Add '-7.1n' to each side of the equation.
30 + 6n + -7.1n = 34.4 + 7.1n + -7.1n

Combine like terms: 6n + -7.1n = -1.1n
30 + -1.1n = 34.4 + 7.1n + -7.1n

Combine like terms: 7.1n + -7.1n = 0.0
30 + -1.1n = 34.4 + 0.0
30 + -1.1n = 34.4

Add '-30' to each side of the equation.
30 + -30 + -1.1n = 34.4 + -30

Combine like terms: 30 + -30 = 0
0 + -1.1n = 34.4 + -30
-1.1n = 34.4 + -30

Combine like terms: 34.4 + -30 = 4.4
-1.1n = 4.4

Divide each side by '-1.1'.
n = -4

Simplifying
n = -4

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