30+6n=-5(4n+6)-8n

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Solution for 30+6n=-5(4n+6)-8n equation:


Simplifying
30 + 6n = -5(4n + 6) + -8n

Reorder the terms:
30 + 6n = -5(6 + 4n) + -8n
30 + 6n = (6 * -5 + 4n * -5) + -8n
30 + 6n = (-30 + -20n) + -8n

Combine like terms: -20n + -8n = -28n
30 + 6n = -30 + -28n

Solving
30 + 6n = -30 + -28n

Solving for variable 'n'.

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

Add '28n' to each side of the equation.
30 + 6n + 28n = -30 + -28n + 28n

Combine like terms: 6n + 28n = 34n
30 + 34n = -30 + -28n + 28n

Combine like terms: -28n + 28n = 0
30 + 34n = -30 + 0
30 + 34n = -30

Add '-30' to each side of the equation.
30 + -30 + 34n = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 34n = -30 + -30
34n = -30 + -30

Combine like terms: -30 + -30 = -60
34n = -60

Divide each side by '34'.
n = -1.764705882

Simplifying
n = -1.764705882

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