7(n+4)=3n+44

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Solution for 7(n+4)=3n+44 equation:


Simplifying
7(n + 4) = 3n + 44

Reorder the terms:
7(4 + n) = 3n + 44
(4 * 7 + n * 7) = 3n + 44
(28 + 7n) = 3n + 44

Reorder the terms:
28 + 7n = 44 + 3n

Solving
28 + 7n = 44 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
28 + 7n + -3n = 44 + 3n + -3n

Combine like terms: 7n + -3n = 4n
28 + 4n = 44 + 3n + -3n

Combine like terms: 3n + -3n = 0
28 + 4n = 44 + 0
28 + 4n = 44

Add '-28' to each side of the equation.
28 + -28 + 4n = 44 + -28

Combine like terms: 28 + -28 = 0
0 + 4n = 44 + -28
4n = 44 + -28

Combine like terms: 44 + -28 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4

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