n-3(5n-1)=-21-8n

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Solution for n-3(5n-1)=-21-8n equation:


Simplifying
n + -3(5n + -1) = -21 + -8n

Reorder the terms:
n + -3(-1 + 5n) = -21 + -8n
n + (-1 * -3 + 5n * -3) = -21 + -8n
n + (3 + -15n) = -21 + -8n

Reorder the terms:
3 + n + -15n = -21 + -8n

Combine like terms: n + -15n = -14n
3 + -14n = -21 + -8n

Solving
3 + -14n = -21 + -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.
3 + -14n + 8n = -21 + -8n + 8n

Combine like terms: -14n + 8n = -6n
3 + -6n = -21 + -8n + 8n

Combine like terms: -8n + 8n = 0
3 + -6n = -21 + 0
3 + -6n = -21

Add '-3' to each side of the equation.
3 + -3 + -6n = -21 + -3

Combine like terms: 3 + -3 = 0
0 + -6n = -21 + -3
-6n = -21 + -3

Combine like terms: -21 + -3 = -24
-6n = -24

Divide each side by '-6'.
n = 4

Simplifying
n = 4

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