51=18(3n-5)+9

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Solution for 51=18(3n-5)+9 equation:


Simplifying
51 = 18(3n + -5) + 9

Reorder the terms:
51 = 18(-5 + 3n) + 9
51 = (-5 * 18 + 3n * 18) + 9
51 = (-90 + 54n) + 9

Reorder the terms:
51 = -90 + 9 + 54n

Combine like terms: -90 + 9 = -81
51 = -81 + 54n

Solving
51 = -81 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
51 + -54n = -81 + 54n + -54n

Combine like terms: 54n + -54n = 0
51 + -54n = -81 + 0
51 + -54n = -81

Add '-51' to each side of the equation.
51 + -51 + -54n = -81 + -51

Combine like terms: 51 + -51 = 0
0 + -54n = -81 + -51
-54n = -81 + -51

Combine like terms: -81 + -51 = -132
-54n = -132

Divide each side by '-54'.
n = 2.444444444

Simplifying
n = 2.444444444

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