-3(3-5n)+5(n-8)=51

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Solution for -3(3-5n)+5(n-8)=51 equation: 


Simplifying
-3(3 + -5n) + 5(n + -8) = 51
(3 * -3 + -5n * -3) + 5(n + -8) = 51
(-9 + 15n) + 5(n + -8) = 51

Reorder the terms:
-9 + 15n + 5(-8 + n) = 51
-9 + 15n + (-8 * 5 + n * 5) = 51
-9 + 15n + (-40 + 5n) = 51

Reorder the terms:
-9 + -40 + 15n + 5n = 51

Combine like terms: -9 + -40 = -49
-49 + 15n + 5n = 51

Combine like terms: 15n + 5n = 20n
-49 + 20n = 51

Solving
-49 + 20n = 51

Solving for variable 'n'.

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

Add '49' to each side of the equation.
-49 + 49 + 20n = 51 + 49

Combine like terms: -49 + 49 = 0
0 + 20n = 51 + 49
20n = 51 + 49

Combine like terms: 51 + 49 = 100
20n = 100

Divide each side by '20'.
n = 5

Simplifying
n = 5

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