2(n+4)=7n+1

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


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

Reorder the terms:
2(4 + n) = 7n + 1
(4 * 2 + n * 2) = 7n + 1
(8 + 2n) = 7n + 1

Reorder the terms:
8 + 2n = 1 + 7n

Solving
8 + 2n = 1 + 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.
8 + 2n + -7n = 1 + 7n + -7n

Combine like terms: 2n + -7n = -5n
8 + -5n = 1 + 7n + -7n

Combine like terms: 7n + -7n = 0
8 + -5n = 1 + 0
8 + -5n = 1

Add '-8' to each side of the equation.
8 + -8 + -5n = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = 1 + -8
-5n = 1 + -8

Combine like terms: 1 + -8 = -7
-5n = -7

Divide each side by '-5'.
n = 1.4

Simplifying
n = 1.4

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