2(n+6.3)=9(n-3.2)

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Solution for 2(n+6.3)=9(n-3.2) equation:


Simplifying
2(n + 6.3) = 9(n + -3.2)

Reorder the terms:
2(6.3 + n) = 9(n + -3.2)
(6.3 * 2 + n * 2) = 9(n + -3.2)
(12.6 + 2n) = 9(n + -3.2)

Reorder the terms:
12.6 + 2n = 9(-3.2 + n)
12.6 + 2n = (-3.2 * 9 + n * 9)
12.6 + 2n = (-28.8 + 9n)

Solving
12.6 + 2n = -28.8 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
12.6 + 2n + -9n = -28.8 + 9n + -9n

Combine like terms: 2n + -9n = -7n
12.6 + -7n = -28.8 + 9n + -9n

Combine like terms: 9n + -9n = 0
12.6 + -7n = -28.8 + 0
12.6 + -7n = -28.8

Add '-12.6' to each side of the equation.
12.6 + -12.6 + -7n = -28.8 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -7n = -28.8 + -12.6
-7n = -28.8 + -12.6

Combine like terms: -28.8 + -12.6 = -41.4
-7n = -41.4

Divide each side by '-7'.
n = 5.914285714

Simplifying
n = 5.914285714

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