6(n-5)+8n=-38+6n

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Solution for 6(n-5)+8n=-38+6n equation:


Simplifying
6(n + -5) + 8n = -38 + 6n

Reorder the terms:
6(-5 + n) + 8n = -38 + 6n
(-5 * 6 + n * 6) + 8n = -38 + 6n
(-30 + 6n) + 8n = -38 + 6n

Combine like terms: 6n + 8n = 14n
-30 + 14n = -38 + 6n

Solving
-30 + 14n = -38 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-30 + 14n + -6n = -38 + 6n + -6n

Combine like terms: 14n + -6n = 8n
-30 + 8n = -38 + 6n + -6n

Combine like terms: 6n + -6n = 0
-30 + 8n = -38 + 0
-30 + 8n = -38

Add '30' to each side of the equation.
-30 + 30 + 8n = -38 + 30

Combine like terms: -30 + 30 = 0
0 + 8n = -38 + 30
8n = -38 + 30

Combine like terms: -38 + 30 = -8
8n = -8

Divide each side by '8'.
n = -1

Simplifying
n = -1

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