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 = -21
-21 + -20n = 3(7n + 6)

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

Solving
-21 + -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.
-21 + -20n + -21n = 18 + 21n + -21n

Combine like terms: -20n + -21n = -41n
-21 + -41n = 18 + 21n + -21n

Combine like terms: 21n + -21n = 0
-21 + -41n = 18 + 0
-21 + -41n = 18

Add '21' to each side of the equation.
-21 + 21 + -41n = 18 + 21

Combine like terms: -21 + 21 = 0
0 + -41n = 18 + 21
-41n = 18 + 21

Combine like terms: 18 + 21 = 39
-41n = 39

Divide each side by '-41'.
n = -0.9512195122

Simplifying
n = -0.9512195122

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