6(n-4)-(3-5n)=10n

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Solution for 6(n-4)-(3-5n)=10n equation:


Simplifying
6(n + -4) + -1(3 + -5n) = 10n

Reorder the terms:
6(-4 + n) + -1(3 + -5n) = 10n
(-4 * 6 + n * 6) + -1(3 + -5n) = 10n
(-24 + 6n) + -1(3 + -5n) = 10n
-24 + 6n + (3 * -1 + -5n * -1) = 10n
-24 + 6n + (-3 + 5n) = 10n

Reorder the terms:
-24 + -3 + 6n + 5n = 10n

Combine like terms: -24 + -3 = -27
-27 + 6n + 5n = 10n

Combine like terms: 6n + 5n = 11n
-27 + 11n = 10n

Solving
-27 + 11n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-27 + 11n + -10n = 10n + -10n

Combine like terms: 11n + -10n = 1n
-27 + 1n = 10n + -10n

Combine like terms: 10n + -10n = 0
-27 + 1n = 0

Add '27' to each side of the equation.
-27 + 27 + 1n = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 1n = 0 + 27
1n = 0 + 27

Combine like terms: 0 + 27 = 27
1n = 27

Divide each side by '1'.
n = 27

Simplifying
n = 27

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