4n+2(6n+1)=7n+38

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Solution for 4n+2(6n+1)=7n+38 equation:


Simplifying
4n + 2(6n + 1) = 7n + 38

Reorder the terms:
4n + 2(1 + 6n) = 7n + 38
4n + (1 * 2 + 6n * 2) = 7n + 38
4n + (2 + 12n) = 7n + 38

Reorder the terms:
2 + 4n + 12n = 7n + 38

Combine like terms: 4n + 12n = 16n
2 + 16n = 7n + 38

Reorder the terms:
2 + 16n = 38 + 7n

Solving
2 + 16n = 38 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
2 + 16n + -7n = 38 + 7n + -7n

Combine like terms: 16n + -7n = 9n
2 + 9n = 38 + 7n + -7n

Combine like terms: 7n + -7n = 0
2 + 9n = 38 + 0
2 + 9n = 38

Add '-2' to each side of the equation.
2 + -2 + 9n = 38 + -2

Combine like terms: 2 + -2 = 0
0 + 9n = 38 + -2
9n = 38 + -2

Combine like terms: 38 + -2 = 36
9n = 36

Divide each side by '9'.
n = 4

Simplifying
n = 4

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