5(3n-5)-(4n+1)=18

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Solution for 5(3n-5)-(4n+1)=18 equation:


Simplifying
5(3n + -5) + -1(4n + 1) = 18

Reorder the terms:
5(-5 + 3n) + -1(4n + 1) = 18
(-5 * 5 + 3n * 5) + -1(4n + 1) = 18
(-25 + 15n) + -1(4n + 1) = 18

Reorder the terms:
-25 + 15n + -1(1 + 4n) = 18
-25 + 15n + (1 * -1 + 4n * -1) = 18
-25 + 15n + (-1 + -4n) = 18

Reorder the terms:
-25 + -1 + 15n + -4n = 18

Combine like terms: -25 + -1 = -26
-26 + 15n + -4n = 18

Combine like terms: 15n + -4n = 11n
-26 + 11n = 18

Solving
-26 + 11n = 18

Solving for variable 'n'.

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

Add '26' to each side of the equation.
-26 + 26 + 11n = 18 + 26

Combine like terms: -26 + 26 = 0
0 + 11n = 18 + 26
11n = 18 + 26

Combine like terms: 18 + 26 = 44
11n = 44

Divide each side by '11'.
n = 4

Simplifying
n = 4

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