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

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


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

Reorder the terms:
7(-4 + 2n) = (4n + 7) + 4
(-4 * 7 + 2n * 7) = (4n + 7) + 4
(-28 + 14n) = (4n + 7) + 4

Reorder the terms:
-28 + 14n = (7 + 4n) + 4

Remove parenthesis around (7 + 4n)
-28 + 14n = 7 + 4n + 4

Reorder the terms:
-28 + 14n = 7 + 4 + 4n

Combine like terms: 7 + 4 = 11
-28 + 14n = 11 + 4n

Solving
-28 + 14n = 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.
-28 + 14n + -4n = 11 + 4n + -4n

Combine like terms: 14n + -4n = 10n
-28 + 10n = 11 + 4n + -4n

Combine like terms: 4n + -4n = 0
-28 + 10n = 11 + 0
-28 + 10n = 11

Add '28' to each side of the equation.
-28 + 28 + 10n = 11 + 28

Combine like terms: -28 + 28 = 0
0 + 10n = 11 + 28
10n = 11 + 28

Combine like terms: 11 + 28 = 39
10n = 39

Divide each side by '10'.
n = 3.9

Simplifying
n = 3.9

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