4(3n-4)=(7n+7+9)

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Solution for 4(3n-4)=(7n+7+9) equation:


Simplifying
4(3n + -4) = (7n + 7 + 9)

Reorder the terms:
4(-4 + 3n) = (7n + 7 + 9)
(-4 * 4 + 3n * 4) = (7n + 7 + 9)
(-16 + 12n) = (7n + 7 + 9)

Reorder the terms:
-16 + 12n = (7 + 9 + 7n)

Combine like terms: 7 + 9 = 16
-16 + 12n = (16 + 7n)

Remove parenthesis around (16 + 7n)
-16 + 12n = 16 + 7n

Solving
-16 + 12n = 16 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-16 + 12n + -7n = 16 + 7n + -7n

Combine like terms: 12n + -7n = 5n
-16 + 5n = 16 + 7n + -7n

Combine like terms: 7n + -7n = 0
-16 + 5n = 16 + 0
-16 + 5n = 16

Add '16' to each side of the equation.
-16 + 16 + 5n = 16 + 16

Combine like terms: -16 + 16 = 0
0 + 5n = 16 + 16
5n = 16 + 16

Combine like terms: 16 + 16 = 32
5n = 32

Divide each side by '5'.
n = 6.4

Simplifying
n = 6.4

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