3n+9=7n-10

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Solution for 3n+9=7n-10 equation:


Simplifying
3n + 9 = 7n + -10

Reorder the terms:
9 + 3n = 7n + -10

Reorder the terms:
9 + 3n = -10 + 7n

Solving
9 + 3n = -10 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
9 + 3n + -7n = -10 + 7n + -7n

Combine like terms: 3n + -7n = -4n
9 + -4n = -10 + 7n + -7n

Combine like terms: 7n + -7n = 0
9 + -4n = -10 + 0
9 + -4n = -10

Add '-9' to each side of the equation.
9 + -9 + -4n = -10 + -9

Combine like terms: 9 + -9 = 0
0 + -4n = -10 + -9
-4n = -10 + -9

Combine like terms: -10 + -9 = -19
-4n = -19

Divide each side by '-4'.
n = 4.75

Simplifying
n = 4.75

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