3n+7=5n-6

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Solution for 3n+7=5n-6 equation:


Simplifying
3n + 7 = 5n + -6

Reorder the terms:
7 + 3n = 5n + -6

Reorder the terms:
7 + 3n = -6 + 5n

Solving
7 + 3n = -6 + 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.
7 + 3n + -5n = -6 + 5n + -5n

Combine like terms: 3n + -5n = -2n
7 + -2n = -6 + 5n + -5n

Combine like terms: 5n + -5n = 0
7 + -2n = -6 + 0
7 + -2n = -6

Add '-7' to each side of the equation.
7 + -7 + -2n = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -2n = -6 + -7
-2n = -6 + -7

Combine like terms: -6 + -7 = -13
-2n = -13

Divide each side by '-2'.
n = 6.5

Simplifying
n = 6.5

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