5(n-14)-3n=-4(n+4)

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Solution for 5(n-14)-3n=-4(n+4) equation:


Simplifying
5(n + -14) + -3n = -4(n + 4)

Reorder the terms:
5(-14 + n) + -3n = -4(n + 4)
(-14 * 5 + n * 5) + -3n = -4(n + 4)
(-70 + 5n) + -3n = -4(n + 4)

Combine like terms: 5n + -3n = 2n
-70 + 2n = -4(n + 4)

Reorder the terms:
-70 + 2n = -4(4 + n)
-70 + 2n = (4 * -4 + n * -4)
-70 + 2n = (-16 + -4n)

Solving
-70 + 2n = -16 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-70 + 2n + 4n = -16 + -4n + 4n

Combine like terms: 2n + 4n = 6n
-70 + 6n = -16 + -4n + 4n

Combine like terms: -4n + 4n = 0
-70 + 6n = -16 + 0
-70 + 6n = -16

Add '70' to each side of the equation.
-70 + 70 + 6n = -16 + 70

Combine like terms: -70 + 70 = 0
0 + 6n = -16 + 70
6n = -16 + 70

Combine like terms: -16 + 70 = 54
6n = 54

Divide each side by '6'.
n = 9

Simplifying
n = 9

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