-0.3(6.5+6.8n)=-8.893(n-1.5)

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Solution for -0.3(6.5+6.8n)=-8.893(n-1.5) equation:


Simplifying
-0.3(6.5 + 6.8n) = -8.893(n + -1.5)
(6.5 * -0.3 + 6.8n * -0.3) = -8.893(n + -1.5)
(-1.95 + -2.04n) = -8.893(n + -1.5)

Reorder the terms:
-1.95 + -2.04n = -8.893(-1.5 + n)
-1.95 + -2.04n = (-1.5 * -8.893 + n * -8.893)
-1.95 + -2.04n = (13.3395 + -8.893n)

Solving
-1.95 + -2.04n = 13.3395 + -8.893n

Solving for variable 'n'.

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

Add '8.893n' to each side of the equation.
-1.95 + -2.04n + 8.893n = 13.3395 + -8.893n + 8.893n

Combine like terms: -2.04n + 8.893n = 6.853n
-1.95 + 6.853n = 13.3395 + -8.893n + 8.893n

Combine like terms: -8.893n + 8.893n = 0.000
-1.95 + 6.853n = 13.3395 + 0.000
-1.95 + 6.853n = 13.3395

Add '1.95' to each side of the equation.
-1.95 + 1.95 + 6.853n = 13.3395 + 1.95

Combine like terms: -1.95 + 1.95 = 0.00
0.00 + 6.853n = 13.3395 + 1.95
6.853n = 13.3395 + 1.95

Combine like terms: 13.3395 + 1.95 = 15.2895
6.853n = 15.2895

Divide each side by '6.853'.
n = 2.231066686

Simplifying
n = 2.231066686

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