2(n+1)=5n-7

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Solution for 2(n+1)=5n-7 equation: 


Simplifying
2(n + 1) = 5n + -7

Reorder the terms:
2(1 + n) = 5n + -7
(1 * 2 + n * 2) = 5n + -7
(2 + 2n) = 5n + -7

Reorder the terms:
2 + 2n = -7 + 5n

Solving
2 + 2n = -7 + 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.
2 + 2n + -5n = -7 + 5n + -5n

Combine like terms: 2n + -5n = -3n
2 + -3n = -7 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -3n = -7 + 0
2 + -3n = -7

Add '-2' to each side of the equation.
2 + -2 + -3n = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -7 + -2
-3n = -7 + -2

Combine like terms: -7 + -2 = -9
-3n = -9

Divide each side by '-3'.
n = 3

Simplifying
n = 3

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