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

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


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

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

Reorder the terms:
12 + 3n = 4(7 + n)
12 + 3n = (7 * 4 + n * 4)
12 + 3n = (28 + 4n)

Solving
12 + 3n = 28 + 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.
12 + 3n + -4n = 28 + 4n + -4n

Combine like terms: 3n + -4n = -1n
12 + -1n = 28 + 4n + -4n

Combine like terms: 4n + -4n = 0
12 + -1n = 28 + 0
12 + -1n = 28

Add '-12' to each side of the equation.
12 + -12 + -1n = 28 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = 28 + -12
-1n = 28 + -12

Combine like terms: 28 + -12 = 16
-1n = 16

Divide each side by '-1'.
n = -16

Simplifying
n = -16

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