-9(n+1)-(4n-3)=14n

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Solution for -9(n+1)-(4n-3)=14n equation:


Simplifying
-9(n + 1) + -1(4n + -3) = 14n

Reorder the terms:
-9(1 + n) + -1(4n + -3) = 14n
(1 * -9 + n * -9) + -1(4n + -3) = 14n
(-9 + -9n) + -1(4n + -3) = 14n

Reorder the terms:
-9 + -9n + -1(-3 + 4n) = 14n
-9 + -9n + (-3 * -1 + 4n * -1) = 14n
-9 + -9n + (3 + -4n) = 14n

Reorder the terms:
-9 + 3 + -9n + -4n = 14n

Combine like terms: -9 + 3 = -6
-6 + -9n + -4n = 14n

Combine like terms: -9n + -4n = -13n
-6 + -13n = 14n

Solving
-6 + -13n = 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-6 + -13n + -14n = 14n + -14n

Combine like terms: -13n + -14n = -27n
-6 + -27n = 14n + -14n

Combine like terms: 14n + -14n = 0
-6 + -27n = 0

Add '6' to each side of the equation.
-6 + 6 + -27n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -27n = 0 + 6
-27n = 0 + 6

Combine like terms: 0 + 6 = 6
-27n = 6

Divide each side by '-27'.
n = -0.2222222222

Simplifying
n = -0.2222222222

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