6n+7-2n+14=5n+1

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Solution for 6n+7-2n+14=5n+1 equation:


Simplifying
6n + 7 + -2n + 14 = 5n + 1

Reorder the terms:
7 + 14 + 6n + -2n = 5n + 1

Combine like terms: 7 + 14 = 21
21 + 6n + -2n = 5n + 1

Combine like terms: 6n + -2n = 4n
21 + 4n = 5n + 1

Reorder the terms:
21 + 4n = 1 + 5n

Solving
21 + 4n = 1 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
21 + 4n + -5n = 1 + 5n + -5n

Combine like terms: 4n + -5n = -1n
21 + -1n = 1 + 5n + -5n

Combine like terms: 5n + -5n = 0
21 + -1n = 1 + 0
21 + -1n = 1

Add '-21' to each side of the equation.
21 + -21 + -1n = 1 + -21

Combine like terms: 21 + -21 = 0
0 + -1n = 1 + -21
-1n = 1 + -21

Combine like terms: 1 + -21 = -20
-1n = -20

Divide each side by '-1'.
n = 20

Simplifying
n = 20

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