4-9(n-4)=6(4n-1)*5

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Solution for 4-9(n-4)=6(4n-1)*5 equation: 


Simplifying
4 + -9(n + -4) = 6(4n + -1) * 5

Reorder the terms:
4 + -9(-4 + n) = 6(4n + -1) * 5
4 + (-4 * -9 + n * -9) = 6(4n + -1) * 5
4 + (36 + -9n) = 6(4n + -1) * 5

Combine like terms: 4 + 36 = 40
40 + -9n = 6(4n + -1) * 5

Reorder the terms:
40 + -9n = 6(-1 + 4n) * 5

Reorder the terms for easier multiplication:
40 + -9n = 6 * 5(-1 + 4n)

Multiply 6 * 5
40 + -9n = 30(-1 + 4n)
40 + -9n = (-1 * 30 + 4n * 30)
40 + -9n = (-30 + 120n)

Solving
40 + -9n = -30 + 120n

Solving for variable 'n'.

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

Add '-120n' to each side of the equation.
40 + -9n + -120n = -30 + 120n + -120n

Combine like terms: -9n + -120n = -129n
40 + -129n = -30 + 120n + -120n

Combine like terms: 120n + -120n = 0
40 + -129n = -30 + 0
40 + -129n = -30

Add '-40' to each side of the equation.
40 + -40 + -129n = -30 + -40

Combine like terms: 40 + -40 = 0
0 + -129n = -30 + -40
-129n = -30 + -40

Combine like terms: -30 + -40 = -70
-129n = -70

Divide each side by '-129'.
n = 0.5426356589

Simplifying
n = 0.5426356589

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