n-1=5n-8+3n

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Solution for n-1=5n-8+3n equation:


Simplifying
n + -1 = 5n + -8 + 3n

Reorder the terms:
-1 + n = 5n + -8 + 3n

Reorder the terms:
-1 + n = -8 + 5n + 3n

Combine like terms: 5n + 3n = 8n
-1 + n = -8 + 8n

Solving
-1 + n = -8 + 8n

Solving for variable 'n'.

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + -7n = -8 + 1

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

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

Divide each side by '-7'.
n = 1

Simplifying
n = 1

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