123.7+-87(76-7)*6(8-n)-6=3(7687-7.5n)+89n

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Solution for 123.7+-87(76-7)*6(8-n)-6=3(7687-7.5n)+89n equation: 


Simplifying
123.7 + -87(76 + -7) * 6(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n

Combine like terms: 76 + -7 = 69
123.7 + -87(69) * 6(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n

Multiply -87 * 69
123.7 + -6003 * 6(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n

Multiply -6003 * 6
123.7 + -36018(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n
123.7 + (8 * -36018 + -1n * -36018) + -6 = 3(7687 + -7.5n) + 89n
123.7 + (-288144 + 36018n) + -6 = 3(7687 + -7.5n) + 89n

Reorder the terms:
123.7 + -288144 + -6 + 36018n = 3(7687 + -7.5n) + 89n

Combine like terms: 123.7 + -288144 = -288020.3
-288020.3 + -6 + 36018n = 3(7687 + -7.5n) + 89n

Combine like terms: -288020.3 + -6 = -288026.3
-288026.3 + 36018n = 3(7687 + -7.5n) + 89n
-288026.3 + 36018n = (7687 * 3 + -7.5n * 3) + 89n
-288026.3 + 36018n = (23061 + -22.5n) + 89n

Combine like terms: -22.5n + 89n = 66.5n
-288026.3 + 36018n = 23061 + 66.5n

Solving
-288026.3 + 36018n = 23061 + 66.5n

Solving for variable 'n'.

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

Add '-66.5n' to each side of the equation.
-288026.3 + 36018n + -66.5n = 23061 + 66.5n + -66.5n

Combine like terms: 36018n + -66.5n = 35951.5n
-288026.3 + 35951.5n = 23061 + 66.5n + -66.5n

Combine like terms: 66.5n + -66.5n = 0.0
-288026.3 + 35951.5n = 23061 + 0.0
-288026.3 + 35951.5n = 23061

Add '288026.3' to each side of the equation.
-288026.3 + 288026.3 + 35951.5n = 23061 + 288026.3

Combine like terms: -288026.3 + 288026.3 = 0.0
0.0 + 35951.5n = 23061 + 288026.3
35951.5n = 23061 + 288026.3

Combine like terms: 23061 + 288026.3 = 311087.3
35951.5n = 311087.3

Divide each side by '35951.5'.
n = 8.652971364

Simplifying
n = 8.652971364

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