2.3(9n-1)+7.2(n+6)=-70.7

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Solution for 2.3(9n-1)+7.2(n+6)=-70.7 equation: 


Simplifying
2.3(9n + -1) + 7.2(n + 6) = -70.7

Reorder the terms:
2.3(-1 + 9n) + 7.2(n + 6) = -70.7
(-1 * 2.3 + 9n * 2.3) + 7.2(n + 6) = -70.7
(-2.3 + 20.7n) + 7.2(n + 6) = -70.7

Reorder the terms:
-2.3 + 20.7n + 7.2(6 + n) = -70.7
-2.3 + 20.7n + (6 * 7.2 + n * 7.2) = -70.7
-2.3 + 20.7n + (43.2 + 7.2n) = -70.7

Reorder the terms:
-2.3 + 43.2 + 20.7n + 7.2n = -70.7

Combine like terms: -2.3 + 43.2 = 40.9
40.9 + 20.7n + 7.2n = -70.7

Combine like terms: 20.7n + 7.2n = 27.9n
40.9 + 27.9n = -70.7

Solving
40.9 + 27.9n = -70.7

Solving for variable 'n'.

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

Add '-40.9' to each side of the equation.
40.9 + -40.9 + 27.9n = -70.7 + -40.9

Combine like terms: 40.9 + -40.9 = 0.0
0.0 + 27.9n = -70.7 + -40.9
27.9n = -70.7 + -40.9

Combine like terms: -70.7 + -40.9 = -111.6
27.9n = -111.6

Divide each side by '27.9'.
n = -4

Simplifying
n = -4

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