3-4(-6-5n)=3(7n+6)

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Solution for 3-4(-6-5n)=3(7n+6) equation:


Simplifying
3 + -4(-6 + -5n) = 3(7n + 6)
3 + (-6 * -4 + -5n * -4) = 3(7n + 6)
3 + (24 + 20n) = 3(7n + 6)

Combine like terms: 3 + 24 = 27
27 + 20n = 3(7n + 6)

Reorder the terms:
27 + 20n = 3(6 + 7n)
27 + 20n = (6 * 3 + 7n * 3)
27 + 20n = (18 + 21n)

Solving
27 + 20n = 18 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
27 + 20n + -21n = 18 + 21n + -21n

Combine like terms: 20n + -21n = -1n
27 + -1n = 18 + 21n + -21n

Combine like terms: 21n + -21n = 0
27 + -1n = 18 + 0
27 + -1n = 18

Add '-27' to each side of the equation.
27 + -27 + -1n = 18 + -27

Combine like terms: 27 + -27 = 0
0 + -1n = 18 + -27
-1n = 18 + -27

Combine like terms: 18 + -27 = -9
-1n = -9

Divide each side by '-1'.
n = 9

Simplifying
n = 9

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