3(2n-9)=2(5n+8)+5

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Solution for 3(2n-9)=2(5n+8)+5 equation: 


Simplifying
3(2n + -9) = 2(5n + 8) + 5

Reorder the terms:
3(-9 + 2n) = 2(5n + 8) + 5
(-9 * 3 + 2n * 3) = 2(5n + 8) + 5
(-27 + 6n) = 2(5n + 8) + 5

Reorder the terms:
-27 + 6n = 2(8 + 5n) + 5
-27 + 6n = (8 * 2 + 5n * 2) + 5
-27 + 6n = (16 + 10n) + 5

Reorder the terms:
-27 + 6n = 16 + 5 + 10n

Combine like terms: 16 + 5 = 21
-27 + 6n = 21 + 10n

Solving
-27 + 6n = 21 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-27 + 6n + -10n = 21 + 10n + -10n

Combine like terms: 6n + -10n = -4n
-27 + -4n = 21 + 10n + -10n

Combine like terms: 10n + -10n = 0
-27 + -4n = 21 + 0
-27 + -4n = 21

Add '27' to each side of the equation.
-27 + 27 + -4n = 21 + 27

Combine like terms: -27 + 27 = 0
0 + -4n = 21 + 27
-4n = 21 + 27

Combine like terms: 21 + 27 = 48
-4n = 48

Divide each side by '-4'.
n = -12

Simplifying
n = -12

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