134=2n+6(2n+6)

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Solution for 134=2n+6(2n+6) equation:


Simplifying
134 = 2n + 6(2n + 6)

Reorder the terms:
134 = 2n + 6(6 + 2n)
134 = 2n + (6 * 6 + 2n * 6)
134 = 2n + (36 + 12n)

Reorder the terms:
134 = 36 + 2n + 12n

Combine like terms: 2n + 12n = 14n
134 = 36 + 14n

Solving
134 = 36 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
134 + -14n = 36 + 14n + -14n

Combine like terms: 14n + -14n = 0
134 + -14n = 36 + 0
134 + -14n = 36

Add '-134' to each side of the equation.
134 + -134 + -14n = 36 + -134

Combine like terms: 134 + -134 = 0
0 + -14n = 36 + -134
-14n = 36 + -134

Combine like terms: 36 + -134 = -98
-14n = -98

Divide each side by '-14'.
n = 7

Simplifying
n = 7

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