34+2n=4(n+5)

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Solution for 34+2n=4(n+5) equation:


Simplifying
34 + 2n = 4(n + 5)

Reorder the terms:
34 + 2n = 4(5 + n)
34 + 2n = (5 * 4 + n * 4)
34 + 2n = (20 + 4n)

Solving
34 + 2n = 20 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
34 + 2n + -4n = 20 + 4n + -4n

Combine like terms: 2n + -4n = -2n
34 + -2n = 20 + 4n + -4n

Combine like terms: 4n + -4n = 0
34 + -2n = 20 + 0
34 + -2n = 20

Add '-34' to each side of the equation.
34 + -34 + -2n = 20 + -34

Combine like terms: 34 + -34 = 0
0 + -2n = 20 + -34
-2n = 20 + -34

Combine like terms: 20 + -34 = -14
-2n = -14

Divide each side by '-2'.
n = 7

Simplifying
n = 7

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