-3(4n-2.25)-2.25(n+2.333)=-2n-0.333

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Solution for -3(4n-2.25)-2.25(n+2.333)=-2n-0.333 equation: 


Simplifying
-3(4n + -2.25) + -2.25(n + 2.333) = -2n + -0.333

Reorder the terms:
-3(-2.25 + 4n) + -2.25(n + 2.333) = -2n + -0.333
(-2.25 * -3 + 4n * -3) + -2.25(n + 2.333) = -2n + -0.333
(6.75 + -12n) + -2.25(n + 2.333) = -2n + -0.333

Reorder the terms:
6.75 + -12n + -2.25(2.333 + n) = -2n + -0.333
6.75 + -12n + (2.333 * -2.25 + n * -2.25) = -2n + -0.333
6.75 + -12n + (-5.24925 + -2.25n) = -2n + -0.333

Reorder the terms:
6.75 + -5.24925 + -12n + -2.25n = -2n + -0.333

Combine like terms: 6.75 + -5.24925 = 1.50075
1.50075 + -12n + -2.25n = -2n + -0.333

Combine like terms: -12n + -2.25n = -14.25n
1.50075 + -14.25n = -2n + -0.333

Reorder the terms:
1.50075 + -14.25n = -0.333 + -2n

Solving
1.50075 + -14.25n = -0.333 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
1.50075 + -14.25n + 2n = -0.333 + -2n + 2n

Combine like terms: -14.25n + 2n = -12.25n
1.50075 + -12.25n = -0.333 + -2n + 2n

Combine like terms: -2n + 2n = 0
1.50075 + -12.25n = -0.333 + 0
1.50075 + -12.25n = -0.333

Add '-1.50075' to each side of the equation.
1.50075 + -1.50075 + -12.25n = -0.333 + -1.50075

Combine like terms: 1.50075 + -1.50075 = 0.00000
0.00000 + -12.25n = -0.333 + -1.50075
-12.25n = -0.333 + -1.50075

Combine like terms: -0.333 + -1.50075 = -1.83375
-12.25n = -1.83375

Divide each side by '-12.25'.
n = 0.1496938776

Simplifying
n = 0.1496938776

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