-13.59+2.2n=7.6n+7.5(1-1.1n)

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Solution for -13.59+2.2n=7.6n+7.5(1-1.1n) equation:


Simplifying
-13.59 + 2.2n = 7.6n + 7.5(1 + -1.1n)
-13.59 + 2.2n = 7.6n + (1 * 7.5 + -1.1n * 7.5)
-13.59 + 2.2n = 7.6n + (7.5 + -8.25n)

Reorder the terms:
-13.59 + 2.2n = 7.5 + 7.6n + -8.25n

Combine like terms: 7.6n + -8.25n = -0.65n
-13.59 + 2.2n = 7.5 + -0.65n

Solving
-13.59 + 2.2n = 7.5 + -0.65n

Solving for variable 'n'.

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

Add '0.65n' to each side of the equation.
-13.59 + 2.2n + 0.65n = 7.5 + -0.65n + 0.65n

Combine like terms: 2.2n + 0.65n = 2.85n
-13.59 + 2.85n = 7.5 + -0.65n + 0.65n

Combine like terms: -0.65n + 0.65n = 0.00
-13.59 + 2.85n = 7.5 + 0.00
-13.59 + 2.85n = 7.5

Add '13.59' to each side of the equation.
-13.59 + 13.59 + 2.85n = 7.5 + 13.59

Combine like terms: -13.59 + 13.59 = 0.00
0.00 + 2.85n = 7.5 + 13.59
2.85n = 7.5 + 13.59

Combine like terms: 7.5 + 13.59 = 21.09
2.85n = 21.09

Divide each side by '2.85'.
n = 7.4

Simplifying
n = 7.4

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