3(4n+5)=-6(n-3)-1

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Solution for 3(4n+5)=-6(n-3)-1 equation: 


Simplifying
3(4n + 5) = -6(n + -3) + -1

Reorder the terms:
3(5 + 4n) = -6(n + -3) + -1
(5 * 3 + 4n * 3) = -6(n + -3) + -1
(15 + 12n) = -6(n + -3) + -1

Reorder the terms:
15 + 12n = -6(-3 + n) + -1
15 + 12n = (-3 * -6 + n * -6) + -1
15 + 12n = (18 + -6n) + -1

Reorder the terms:
15 + 12n = 18 + -1 + -6n

Combine like terms: 18 + -1 = 17
15 + 12n = 17 + -6n

Solving
15 + 12n = 17 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
15 + 12n + 6n = 17 + -6n + 6n

Combine like terms: 12n + 6n = 18n
15 + 18n = 17 + -6n + 6n

Combine like terms: -6n + 6n = 0
15 + 18n = 17 + 0
15 + 18n = 17

Add '-15' to each side of the equation.
15 + -15 + 18n = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 18n = 17 + -15
18n = 17 + -15

Combine like terms: 17 + -15 = 2
18n = 2

Divide each side by '18'.
n = 0.1111111111

Simplifying
n = 0.1111111111

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