7n+8=4n-10

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Solution for 7n+8=4n-10 equation:


Simplifying
7n + 8 = 4n + -10

Reorder the terms:
8 + 7n = 4n + -10

Reorder the terms:
8 + 7n = -10 + 4n

Solving
8 + 7n = -10 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
8 + 7n + -4n = -10 + 4n + -4n

Combine like terms: 7n + -4n = 3n
8 + 3n = -10 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + 3n = -10 + 0
8 + 3n = -10

Add '-8' to each side of the equation.
8 + -8 + 3n = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 3n = -10 + -8
3n = -10 + -8

Combine like terms: -10 + -8 = -18
3n = -18

Divide each side by '3'.
n = -6

Simplifying
n = -6

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