10-(2n-6)=5-3n

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Solution for 10-(2n-6)=5-3n equation:


Simplifying
10 + -1(2n + -6) = 5 + -3n

Reorder the terms:
10 + -1(-6 + 2n) = 5 + -3n
10 + (-6 * -1 + 2n * -1) = 5 + -3n
10 + (6 + -2n) = 5 + -3n

Combine like terms: 10 + 6 = 16
16 + -2n = 5 + -3n

Solving
16 + -2n = 5 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
16 + -2n + 3n = 5 + -3n + 3n

Combine like terms: -2n + 3n = 1n
16 + 1n = 5 + -3n + 3n

Combine like terms: -3n + 3n = 0
16 + 1n = 5 + 0
16 + 1n = 5

Add '-16' to each side of the equation.
16 + -16 + 1n = 5 + -16

Combine like terms: 16 + -16 = 0
0 + 1n = 5 + -16
1n = 5 + -16

Combine like terms: 5 + -16 = -11
1n = -11

Divide each side by '1'.
n = -11

Simplifying
n = -11

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