6n+6(5n+8)=-36+8n

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Solution for 6n+6(5n+8)=-36+8n equation:


Simplifying
6n + 6(5n + 8) = -36 + 8n

Reorder the terms:
6n + 6(8 + 5n) = -36 + 8n
6n + (8 * 6 + 5n * 6) = -36 + 8n
6n + (48 + 30n) = -36 + 8n

Reorder the terms:
48 + 6n + 30n = -36 + 8n

Combine like terms: 6n + 30n = 36n
48 + 36n = -36 + 8n

Solving
48 + 36n = -36 + 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.
48 + 36n + -8n = -36 + 8n + -8n

Combine like terms: 36n + -8n = 28n
48 + 28n = -36 + 8n + -8n

Combine like terms: 8n + -8n = 0
48 + 28n = -36 + 0
48 + 28n = -36

Add '-48' to each side of the equation.
48 + -48 + 28n = -36 + -48

Combine like terms: 48 + -48 = 0
0 + 28n = -36 + -48
28n = -36 + -48

Combine like terms: -36 + -48 = -84
28n = -84

Divide each side by '28'.
n = -3

Simplifying
n = -3

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