4(5-3n)-9=3n-4

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Solution for 4(5-3n)-9=3n-4 equation: 


Simplifying
4(5 + -3n) + -9 = 3n + -4
(5 * 4 + -3n * 4) + -9 = 3n + -4
(20 + -12n) + -9 = 3n + -4

Reorder the terms:
20 + -9 + -12n = 3n + -4

Combine like terms: 20 + -9 = 11
11 + -12n = 3n + -4

Reorder the terms:
11 + -12n = -4 + 3n

Solving
11 + -12n = -4 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
11 + -12n + -3n = -4 + 3n + -3n

Combine like terms: -12n + -3n = -15n
11 + -15n = -4 + 3n + -3n

Combine like terms: 3n + -3n = 0
11 + -15n = -4 + 0
11 + -15n = -4

Add '-11' to each side of the equation.
11 + -11 + -15n = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -15n = -4 + -11
-15n = -4 + -11

Combine like terms: -4 + -11 = -15
-15n = -15

Divide each side by '-15'.
n = 1

Simplifying
n = 1

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