3n+37=2(1+2n)+6

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Solution for 3n+37=2(1+2n)+6 equation: 


Simplifying
3n + 37 = 2(1 + 2n) + 6

Reorder the terms:
37 + 3n = 2(1 + 2n) + 6
37 + 3n = (1 * 2 + 2n * 2) + 6
37 + 3n = (2 + 4n) + 6

Reorder the terms:
37 + 3n = 2 + 6 + 4n

Combine like terms: 2 + 6 = 8
37 + 3n = 8 + 4n

Solving
37 + 3n = 8 + 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.
37 + 3n + -4n = 8 + 4n + -4n

Combine like terms: 3n + -4n = -1n
37 + -1n = 8 + 4n + -4n

Combine like terms: 4n + -4n = 0
37 + -1n = 8 + 0
37 + -1n = 8

Add '-37' to each side of the equation.
37 + -37 + -1n = 8 + -37

Combine like terms: 37 + -37 = 0
0 + -1n = 8 + -37
-1n = 8 + -37

Combine like terms: 8 + -37 = -29
-1n = -29

Divide each side by '-1'.
n = 29

Simplifying
n = 29

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