-4(3-n)=11(4n-3)-9

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Solution for -4(3-n)=11(4n-3)-9 equation:


Simplifying
-4(3 + -1n) = 11(4n + -3) + -9
(3 * -4 + -1n * -4) = 11(4n + -3) + -9
(-12 + 4n) = 11(4n + -3) + -9

Reorder the terms:
-12 + 4n = 11(-3 + 4n) + -9
-12 + 4n = (-3 * 11 + 4n * 11) + -9
-12 + 4n = (-33 + 44n) + -9

Reorder the terms:
-12 + 4n = -33 + -9 + 44n

Combine like terms: -33 + -9 = -42
-12 + 4n = -42 + 44n

Solving
-12 + 4n = -42 + 44n

Solving for variable 'n'.

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

Add '-44n' to each side of the equation.
-12 + 4n + -44n = -42 + 44n + -44n

Combine like terms: 4n + -44n = -40n
-12 + -40n = -42 + 44n + -44n

Combine like terms: 44n + -44n = 0
-12 + -40n = -42 + 0
-12 + -40n = -42

Add '12' to each side of the equation.
-12 + 12 + -40n = -42 + 12

Combine like terms: -12 + 12 = 0
0 + -40n = -42 + 12
-40n = -42 + 12

Combine like terms: -42 + 12 = -30
-40n = -30

Divide each side by '-40'.
n = 0.75

Simplifying
n = 0.75

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