10-(3n-6)=6-4n

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Solution for 10-(3n-6)=6-4n equation:


Simplifying
10 + -1(3n + -6) = 6 + -4n

Reorder the terms:
10 + -1(-6 + 3n) = 6 + -4n
10 + (-6 * -1 + 3n * -1) = 6 + -4n
10 + (6 + -3n) = 6 + -4n

Combine like terms: 10 + 6 = 16
16 + -3n = 6 + -4n

Solving
16 + -3n = 6 + -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.
16 + -3n + 4n = 6 + -4n + 4n

Combine like terms: -3n + 4n = 1n
16 + 1n = 6 + -4n + 4n

Combine like terms: -4n + 4n = 0
16 + 1n = 6 + 0
16 + 1n = 6

Add '-16' to each side of the equation.
16 + -16 + 1n = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 1n = 6 + -16
1n = 6 + -16

Combine like terms: 6 + -16 = -10
1n = -10

Divide each side by '1'.
n = -10

Simplifying
n = -10

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