3(3n-7)=4(n+1)

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Solution for 3(3n-7)=4(n+1) equation:


Simplifying
3(3n + -7) = 4(n + 1)

Reorder the terms:
3(-7 + 3n) = 4(n + 1)
(-7 * 3 + 3n * 3) = 4(n + 1)
(-21 + 9n) = 4(n + 1)

Reorder the terms:
-21 + 9n = 4(1 + n)
-21 + 9n = (1 * 4 + n * 4)
-21 + 9n = (4 + 4n)

Solving
-21 + 9n = 4 + 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.
-21 + 9n + -4n = 4 + 4n + -4n

Combine like terms: 9n + -4n = 5n
-21 + 5n = 4 + 4n + -4n

Combine like terms: 4n + -4n = 0
-21 + 5n = 4 + 0
-21 + 5n = 4

Add '21' to each side of the equation.
-21 + 21 + 5n = 4 + 21

Combine like terms: -21 + 21 = 0
0 + 5n = 4 + 21
5n = 4 + 21

Combine like terms: 4 + 21 = 25
5n = 25

Divide each side by '5'.
n = 5

Simplifying
n = 5

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