-87.5=2.6+5.4(1+6.4n)

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Solution for -87.5=2.6+5.4(1+6.4n) equation:


Simplifying
-87.5 = 2.6 + 5.4(1 + 6.4n)
-87.5 = 2.6 + (1 * 5.4 + 6.4n * 5.4)
-87.5 = 2.6 + (5.4 + 34.56n)

Combine like terms: 2.6 + 5.4 = 8
-87.5 = 8 + 34.56n

Solving
-87.5 = 8 + 34.56n

Solving for variable 'n'.

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

Add '-34.56n' to each side of the equation.
-87.5 + -34.56n = 8 + 34.56n + -34.56n

Combine like terms: 34.56n + -34.56n = 0.00
-87.5 + -34.56n = 8 + 0.00
-87.5 + -34.56n = 8

Add '87.5' to each side of the equation.
-87.5 + 87.5 + -34.56n = 8 + 87.5

Combine like terms: -87.5 + 87.5 = 0.0
0.0 + -34.56n = 8 + 87.5
-34.56n = 8 + 87.5

Combine like terms: 8 + 87.5 = 95.5
-34.56n = 95.5

Divide each side by '-34.56'.
n = -2.763310185

Simplifying
n = -2.763310185

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