3+5n-2=9n+10-3n

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Solution for 3+5n-2=9n+10-3n equation:


Simplifying
3 + 5n + -2 = 9n + 10 + -3n

Reorder the terms:
3 + -2 + 5n = 9n + 10 + -3n

Combine like terms: 3 + -2 = 1
1 + 5n = 9n + 10 + -3n

Reorder the terms:
1 + 5n = 10 + 9n + -3n

Combine like terms: 9n + -3n = 6n
1 + 5n = 10 + 6n

Solving
1 + 5n = 10 + 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.
1 + 5n + -6n = 10 + 6n + -6n

Combine like terms: 5n + -6n = -1n
1 + -1n = 10 + 6n + -6n

Combine like terms: 6n + -6n = 0
1 + -1n = 10 + 0
1 + -1n = 10

Add '-1' to each side of the equation.
1 + -1 + -1n = 10 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 10 + -1
-1n = 10 + -1

Combine like terms: 10 + -1 = 9
-1n = 9

Divide each side by '-1'.
n = -9

Simplifying
n = -9

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