5n+9=2n-3

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Solution for 5n+9=2n-3 equation:


Simplifying
5n + 9 = 2n + -3

Reorder the terms:
9 + 5n = 2n + -3

Reorder the terms:
9 + 5n = -3 + 2n

Solving
9 + 5n = -3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
9 + 5n + -2n = -3 + 2n + -2n

Combine like terms: 5n + -2n = 3n
9 + 3n = -3 + 2n + -2n

Combine like terms: 2n + -2n = 0
9 + 3n = -3 + 0
9 + 3n = -3

Add '-9' to each side of the equation.
9 + -9 + 3n = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 3n = -3 + -9
3n = -3 + -9

Combine like terms: -3 + -9 = -12
3n = -12

Divide each side by '3'.
n = -4

Simplifying
n = -4

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