3n*55n+7-4n*8n*9m=11

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Solution for 3n*55n+7-4n*8n*9m=11 equation:


Simplifying
3n * 55n + 7 + -4n * 8n * 9m = 11

Reorder the terms for easier multiplication:
3 * 55n * n + 7 + -4n * 8n * 9m = 11

Multiply 3 * 55
165n * n + 7 + -4n * 8n * 9m = 11

Multiply n * n
165n2 + 7 + -4n * 8n * 9m = 11

Reorder the terms for easier multiplication:
165n2 + 7 + -4 * 8 * 9n * n * m = 11

Multiply -4 * 8
165n2 + 7 + -32 * 9n * n * m = 11

Multiply -32 * 9
165n2 + 7 + -288n * n * m = 11

Multiply n * n
165n2 + 7 + -288n2 * m = 11

Multiply n2 * m
165n2 + 7 + -288mn2 = 11

Reorder the terms:
7 + -288mn2 + 165n2 = 11

Solving
7 + -288mn2 + 165n2 = 11

Solving for variable 'm'.

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

Add '-7' to each side of the equation.
7 + -288mn2 + -7 + 165n2 = 11 + -7

Reorder the terms:
7 + -7 + -288mn2 + 165n2 = 11 + -7

Combine like terms: 7 + -7 = 0
0 + -288mn2 + 165n2 = 11 + -7
-288mn2 + 165n2 = 11 + -7

Combine like terms: 11 + -7 = 4
-288mn2 + 165n2 = 4

Add '-165n2' to each side of the equation.
-288mn2 + 165n2 + -165n2 = 4 + -165n2

Combine like terms: 165n2 + -165n2 = 0
-288mn2 + 0 = 4 + -165n2
-288mn2 = 4 + -165n2

Divide each side by '-288n2'.
m = -0.01388888889n-2 + 0.5729166667

Simplifying
m = -0.01388888889n-2 + 0.5729166667

Reorder the terms:
m = 0.5729166667 + -0.01388888889n-2

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