4(n+6)=5(n+1)

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Solution for 4(n+6)=5(n+1) equation:


Simplifying
4(n + 6) = 5(n + 1)

Reorder the terms:
4(6 + n) = 5(n + 1)
(6 * 4 + n * 4) = 5(n + 1)
(24 + 4n) = 5(n + 1)

Reorder the terms:
24 + 4n = 5(1 + n)
24 + 4n = (1 * 5 + n * 5)
24 + 4n = (5 + 5n)

Solving
24 + 4n = 5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
24 + 4n + -5n = 5 + 5n + -5n

Combine like terms: 4n + -5n = -1n
24 + -1n = 5 + 5n + -5n

Combine like terms: 5n + -5n = 0
24 + -1n = 5 + 0
24 + -1n = 5

Add '-24' to each side of the equation.
24 + -24 + -1n = 5 + -24

Combine like terms: 24 + -24 = 0
0 + -1n = 5 + -24
-1n = 5 + -24

Combine like terms: 5 + -24 = -19
-1n = -19

Divide each side by '-1'.
n = 19

Simplifying
n = 19

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