6(3n+8)-4n=-10n+6(n+8)

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Solution for 6(3n+8)-4n=-10n+6(n+8) equation: 


Simplifying
6(3n + 8) + -4n = -10n + 6(n + 8)

Reorder the terms:
6(8 + 3n) + -4n = -10n + 6(n + 8)
(8 * 6 + 3n * 6) + -4n = -10n + 6(n + 8)
(48 + 18n) + -4n = -10n + 6(n + 8)

Combine like terms: 18n + -4n = 14n
48 + 14n = -10n + 6(n + 8)

Reorder the terms:
48 + 14n = -10n + 6(8 + n)
48 + 14n = -10n + (8 * 6 + n * 6)
48 + 14n = -10n + (48 + 6n)

Reorder the terms:
48 + 14n = 48 + -10n + 6n

Combine like terms: -10n + 6n = -4n
48 + 14n = 48 + -4n

Add '-48' to each side of the equation.
48 + -48 + 14n = 48 + -48 + -4n

Combine like terms: 48 + -48 = 0
0 + 14n = 48 + -48 + -4n
14n = 48 + -48 + -4n

Combine like terms: 48 + -48 = 0
14n = 0 + -4n
14n = -4n

Solving
14n = -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
14n + 4n = -4n + 4n

Combine like terms: 14n + 4n = 18n
18n = -4n + 4n

Combine like terms: -4n + 4n = 0
18n = 0

Divide each side by '18'.
n = 0

Simplifying
n = 0

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