3(2n-5)+4n=6+2(3n+4)

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Solution for 3(2n-5)+4n=6+2(3n+4) equation:


Simplifying
3(2n + -5) + 4n = 6 + 2(3n + 4)

Reorder the terms:
3(-5 + 2n) + 4n = 6 + 2(3n + 4)
(-5 * 3 + 2n * 3) + 4n = 6 + 2(3n + 4)
(-15 + 6n) + 4n = 6 + 2(3n + 4)

Combine like terms: 6n + 4n = 10n
-15 + 10n = 6 + 2(3n + 4)

Reorder the terms:
-15 + 10n = 6 + 2(4 + 3n)
-15 + 10n = 6 + (4 * 2 + 3n * 2)
-15 + 10n = 6 + (8 + 6n)

Combine like terms: 6 + 8 = 14
-15 + 10n = 14 + 6n

Solving
-15 + 10n = 14 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-15 + 10n + -6n = 14 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-15 + 4n = 14 + 6n + -6n

Combine like terms: 6n + -6n = 0
-15 + 4n = 14 + 0
-15 + 4n = 14

Add '15' to each side of the equation.
-15 + 15 + 4n = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 4n = 14 + 15
4n = 14 + 15

Combine like terms: 14 + 15 = 29
4n = 29

Divide each side by '4'.
n = 7.25

Simplifying
n = 7.25

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