3n+4(-4n-5)=12n+5

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Solution for 3n+4(-4n-5)=12n+5 equation:


Simplifying
3n + 4(-4n + -5) = 12n + 5

Reorder the terms:
3n + 4(-5 + -4n) = 12n + 5
3n + (-5 * 4 + -4n * 4) = 12n + 5
3n + (-20 + -16n) = 12n + 5

Reorder the terms:
-20 + 3n + -16n = 12n + 5

Combine like terms: 3n + -16n = -13n
-20 + -13n = 12n + 5

Reorder the terms:
-20 + -13n = 5 + 12n

Solving
-20 + -13n = 5 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-20 + -13n + -12n = 5 + 12n + -12n

Combine like terms: -13n + -12n = -25n
-20 + -25n = 5 + 12n + -12n

Combine like terms: 12n + -12n = 0
-20 + -25n = 5 + 0
-20 + -25n = 5

Add '20' to each side of the equation.
-20 + 20 + -25n = 5 + 20

Combine like terms: -20 + 20 = 0
0 + -25n = 5 + 20
-25n = 5 + 20

Combine like terms: 5 + 20 = 25
-25n = 25

Divide each side by '-25'.
n = -1

Simplifying
n = -1

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