7(n-2)=4(n+4)

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Solution for 7(n-2)=4(n+4) equation:


Simplifying
7(n + -2) = 4(n + 4)

Reorder the terms:
7(-2 + n) = 4(n + 4)
(-2 * 7 + n * 7) = 4(n + 4)
(-14 + 7n) = 4(n + 4)

Reorder the terms:
-14 + 7n = 4(4 + n)
-14 + 7n = (4 * 4 + n * 4)
-14 + 7n = (16 + 4n)

Solving
-14 + 7n = 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.
-14 + 7n + -4n = 16 + 4n + -4n

Combine like terms: 7n + -4n = 3n
-14 + 3n = 16 + 4n + -4n

Combine like terms: 4n + -4n = 0
-14 + 3n = 16 + 0
-14 + 3n = 16

Add '14' to each side of the equation.
-14 + 14 + 3n = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 3n = 16 + 14
3n = 16 + 14

Combine like terms: 16 + 14 = 30
3n = 30

Divide each side by '3'.
n = 10

Simplifying
n = 10

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