2(3n-1)+5(3n+2)=

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Solution for 2(3n-1)+5(3n+2)= equation:


Simplifying
2(3n + -1) + 5(3n + 2) = 0

Reorder the terms:
2(-1 + 3n) + 5(3n + 2) = 0
(-1 * 2 + 3n * 2) + 5(3n + 2) = 0
(-2 + 6n) + 5(3n + 2) = 0

Reorder the terms:
-2 + 6n + 5(2 + 3n) = 0
-2 + 6n + (2 * 5 + 3n * 5) = 0
-2 + 6n + (10 + 15n) = 0

Reorder the terms:
-2 + 10 + 6n + 15n = 0

Combine like terms: -2 + 10 = 8
8 + 6n + 15n = 0

Combine like terms: 6n + 15n = 21n
8 + 21n = 0

Solving
8 + 21n = 0

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + 21n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 21n = 0 + -8
21n = 0 + -8

Combine like terms: 0 + -8 = -8
21n = -8

Divide each side by '21'.
n = -0.380952381

Simplifying
n = -0.380952381

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