n-7=5n-1

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Solution for n-7=5n-1 equation:


Simplifying
n + -7 = 5n + -1

Reorder the terms:
-7 + n = 5n + -1

Reorder the terms:
-7 + n = -1 + 5n

Solving
-7 + n = -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.
-7 + n + -5n = -1 + 5n + -5n

Combine like terms: n + -5n = -4n
-7 + -4n = -1 + 5n + -5n

Combine like terms: 5n + -5n = 0
-7 + -4n = -1 + 0
-7 + -4n = -1

Add '7' to each side of the equation.
-7 + 7 + -4n = -1 + 7

Combine like terms: -7 + 7 = 0
0 + -4n = -1 + 7
-4n = -1 + 7

Combine like terms: -1 + 7 = 6
-4n = 6

Divide each side by '-4'.
n = -1.5

Simplifying
n = -1.5

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