7(3n-4)=(4n+2)+3

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Solution for 7(3n-4)=(4n+2)+3 equation:


Simplifying
7(3n + -4) = (4n + 2) + 3

Reorder the terms:
7(-4 + 3n) = (4n + 2) + 3
(-4 * 7 + 3n * 7) = (4n + 2) + 3
(-28 + 21n) = (4n + 2) + 3

Reorder the terms:
-28 + 21n = (2 + 4n) + 3

Remove parenthesis around (2 + 4n)
-28 + 21n = 2 + 4n + 3

Reorder the terms:
-28 + 21n = 2 + 3 + 4n

Combine like terms: 2 + 3 = 5
-28 + 21n = 5 + 4n

Solving
-28 + 21n = 5 + 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 + 21n + -4n = 5 + 4n + -4n

Combine like terms: 21n + -4n = 17n
-28 + 17n = 5 + 4n + -4n

Combine like terms: 4n + -4n = 0
-28 + 17n = 5 + 0
-28 + 17n = 5

Add '28' to each side of the equation.
-28 + 28 + 17n = 5 + 28

Combine like terms: -28 + 28 = 0
0 + 17n = 5 + 28
17n = 5 + 28

Combine like terms: 5 + 28 = 33
17n = 33

Divide each side by '17'.
n = 1.941176471

Simplifying
n = 1.941176471

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