3n-10=5+6(n+4)

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Solution for 3n-10=5+6(n+4) equation:


Simplifying
3n + -10 = 5 + 6(n + 4)

Reorder the terms:
-10 + 3n = 5 + 6(n + 4)

Reorder the terms:
-10 + 3n = 5 + 6(4 + n)
-10 + 3n = 5 + (4 * 6 + n * 6)
-10 + 3n = 5 + (24 + 6n)

Combine like terms: 5 + 24 = 29
-10 + 3n = 29 + 6n

Solving
-10 + 3n = 29 + 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.
-10 + 3n + -6n = 29 + 6n + -6n

Combine like terms: 3n + -6n = -3n
-10 + -3n = 29 + 6n + -6n

Combine like terms: 6n + -6n = 0
-10 + -3n = 29 + 0
-10 + -3n = 29

Add '10' to each side of the equation.
-10 + 10 + -3n = 29 + 10

Combine like terms: -10 + 10 = 0
0 + -3n = 29 + 10
-3n = 29 + 10

Combine like terms: 29 + 10 = 39
-3n = 39

Divide each side by '-3'.
n = -13

Simplifying
n = -13

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