4(n+1)=6n-1

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


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

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

Reorder the terms:
4 + 4n = -1 + 6n

Solving
4 + 4n = -1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
4 + 4n + -6n = -1 + 6n + -6n

Combine like terms: 4n + -6n = -2n
4 + -2n = -1 + 6n + -6n

Combine like terms: 6n + -6n = 0
4 + -2n = -1 + 0
4 + -2n = -1

Add '-4' to each side of the equation.
4 + -4 + -2n = -1 + -4

Combine like terms: 4 + -4 = 0
0 + -2n = -1 + -4
-2n = -1 + -4

Combine like terms: -1 + -4 = -5
-2n = -5

Divide each side by '-2'.
n = 2.5

Simplifying
n = 2.5

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