N-(n-9)=3n-10

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Solution for N-(n-9)=3n-10 equation: 


Simplifying
N + -1(n + -9) = 3n + -10

Reorder the terms:
N + -1(-9 + n) = 3n + -10
N + (-9 * -1 + n * -1) = 3n + -10
N + (9 + -1n) = 3n + -10

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

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

Solving
9 + N + -1n = -10 + 3n

Solving for variable 'N'.

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

Add '-9' to each side of the equation.
9 + N + -9 + -1n = -10 + -9 + 3n

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

Combine like terms: 9 + -9 = 0
0 + N + -1n = -10 + -9 + 3n
N + -1n = -10 + -9 + 3n

Combine like terms: -10 + -9 = -19
N + -1n = -19 + 3n

Add 'n' to each side of the equation.
N + -1n + n = -19 + 3n + n

Combine like terms: -1n + n = 0
N + 0 = -19 + 3n + n
N = -19 + 3n + n

Combine like terms: 3n + n = 4n
N = -19 + 4n

Simplifying
N = -19 + 4n

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