6(n+8)-(-4n-1)=9n

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Solution for 6(n+8)-(-4n-1)=9n equation:


Simplifying
6(n + 8) + -1(-4n + -1) = 9n

Reorder the terms:
6(8 + n) + -1(-4n + -1) = 9n
(8 * 6 + n * 6) + -1(-4n + -1) = 9n
(48 + 6n) + -1(-4n + -1) = 9n

Reorder the terms:
48 + 6n + -1(-1 + -4n) = 9n
48 + 6n + (-1 * -1 + -4n * -1) = 9n
48 + 6n + (1 + 4n) = 9n

Reorder the terms:
48 + 1 + 6n + 4n = 9n

Combine like terms: 48 + 1 = 49
49 + 6n + 4n = 9n

Combine like terms: 6n + 4n = 10n
49 + 10n = 9n

Solving
49 + 10n = 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
49 + 10n + -9n = 9n + -9n

Combine like terms: 10n + -9n = 1n
49 + 1n = 9n + -9n

Combine like terms: 9n + -9n = 0
49 + 1n = 0

Add '-49' to each side of the equation.
49 + -49 + 1n = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 1n = 0 + -49
1n = 0 + -49

Combine like terms: 0 + -49 = -49
1n = -49

Divide each side by '1'.
n = -49

Simplifying
n = -49

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