8(3n-4)=(4n+7)+4

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Solution for 8(3n-4)=(4n+7)+4 equation:


Simplifying
8(3n + -4) = (4n + 7) + 4

Reorder the terms:
8(-4 + 3n) = (4n + 7) + 4
(-4 * 8 + 3n * 8) = (4n + 7) + 4
(-32 + 24n) = (4n + 7) + 4

Reorder the terms:
-32 + 24n = (7 + 4n) + 4

Remove parenthesis around (7 + 4n)
-32 + 24n = 7 + 4n + 4

Reorder the terms:
-32 + 24n = 7 + 4 + 4n

Combine like terms: 7 + 4 = 11
-32 + 24n = 11 + 4n

Solving
-32 + 24n = 11 + 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.
-32 + 24n + -4n = 11 + 4n + -4n

Combine like terms: 24n + -4n = 20n
-32 + 20n = 11 + 4n + -4n

Combine like terms: 4n + -4n = 0
-32 + 20n = 11 + 0
-32 + 20n = 11

Add '32' to each side of the equation.
-32 + 32 + 20n = 11 + 32

Combine like terms: -32 + 32 = 0
0 + 20n = 11 + 32
20n = 11 + 32

Combine like terms: 11 + 32 = 43
20n = 43

Divide each side by '20'.
n = 2.15

Simplifying
n = 2.15

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