10-(3n-8)=3-4n

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Solution for 10-(3n-8)=3-4n equation:


Simplifying
10 + -1(3n + -8) = 3 + -4n

Reorder the terms:
10 + -1(-8 + 3n) = 3 + -4n
10 + (-8 * -1 + 3n * -1) = 3 + -4n
10 + (8 + -3n) = 3 + -4n

Combine like terms: 10 + 8 = 18
18 + -3n = 3 + -4n

Solving
18 + -3n = 3 + -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.
18 + -3n + 4n = 3 + -4n + 4n

Combine like terms: -3n + 4n = 1n
18 + 1n = 3 + -4n + 4n

Combine like terms: -4n + 4n = 0
18 + 1n = 3 + 0
18 + 1n = 3

Add '-18' to each side of the equation.
18 + -18 + 1n = 3 + -18

Combine like terms: 18 + -18 = 0
0 + 1n = 3 + -18
1n = 3 + -18

Combine like terms: 3 + -18 = -15
1n = -15

Divide each side by '1'.
n = -15

Simplifying
n = -15

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