6(n-5)-(1-9n)=14n

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Solution for 6(n-5)-(1-9n)=14n equation:


Simplifying
6(n + -5) + -1(1 + -9n) = 14n

Reorder the terms:
6(-5 + n) + -1(1 + -9n) = 14n
(-5 * 6 + n * 6) + -1(1 + -9n) = 14n
(-30 + 6n) + -1(1 + -9n) = 14n
-30 + 6n + (1 * -1 + -9n * -1) = 14n
-30 + 6n + (-1 + 9n) = 14n

Reorder the terms:
-30 + -1 + 6n + 9n = 14n

Combine like terms: -30 + -1 = -31
-31 + 6n + 9n = 14n

Combine like terms: 6n + 9n = 15n
-31 + 15n = 14n

Solving
-31 + 15n = 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.
-31 + 15n + -14n = 14n + -14n

Combine like terms: 15n + -14n = 1n
-31 + 1n = 14n + -14n

Combine like terms: 14n + -14n = 0
-31 + 1n = 0

Add '31' to each side of the equation.
-31 + 31 + 1n = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 1n = 0 + 31
1n = 0 + 31

Combine like terms: 0 + 31 = 31
1n = 31

Divide each side by '1'.
n = 31

Simplifying
n = 31

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