3n+[-5n-(n+3)]=8n+(-5n-9)

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Solution for 3n+[-5n-(n+3)]=8n+(-5n-9) equation:


Simplifying
3n + [-5n + -1(n + 3)] = 8n + (-5n + -9)

Reorder the terms:
3n + [-5n + -1(3 + n)] = 8n + (-5n + -9)
3n + [-5n + (3 * -1 + n * -1)] = 8n + (-5n + -9)
3n + [-5n + (-3 + -1n)] = 8n + (-5n + -9)

Reorder the terms:
3n + [-3 + -5n + -1n] = 8n + (-5n + -9)

Combine like terms: -5n + -1n = -6n
3n + [-3 + -6n] = 8n + (-5n + -9)

Remove brackets around [-3 + -6n]
3n + -3 + -6n = 8n + (-5n + -9)

Reorder the terms:
-3 + 3n + -6n = 8n + (-5n + -9)

Combine like terms: 3n + -6n = -3n
-3 + -3n = 8n + (-5n + -9)

Reorder the terms:
-3 + -3n = 8n + (-9 + -5n)

Remove parenthesis around (-9 + -5n)
-3 + -3n = 8n + -9 + -5n

Reorder the terms:
-3 + -3n = -9 + 8n + -5n

Combine like terms: 8n + -5n = 3n
-3 + -3n = -9 + 3n

Solving
-3 + -3n = -9 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-3 + -3n + -3n = -9 + 3n + -3n

Combine like terms: -3n + -3n = -6n
-3 + -6n = -9 + 3n + -3n

Combine like terms: 3n + -3n = 0
-3 + -6n = -9 + 0
-3 + -6n = -9

Add '3' to each side of the equation.
-3 + 3 + -6n = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -6n = -9 + 3
-6n = -9 + 3

Combine like terms: -9 + 3 = -6
-6n = -6

Divide each side by '-6'.
n = 1

Simplifying
n = 1

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