10-(3n-7)=7-4n

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Solution for 10-(3n-7)=7-4n equation:


Simplifying
10 + -1(3n + -7) = 7 + -4n

Reorder the terms:
10 + -1(-7 + 3n) = 7 + -4n
10 + (-7 * -1 + 3n * -1) = 7 + -4n
10 + (7 + -3n) = 7 + -4n

Combine like terms: 10 + 7 = 17
17 + -3n = 7 + -4n

Solving
17 + -3n = 7 + -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.
17 + -3n + 4n = 7 + -4n + 4n

Combine like terms: -3n + 4n = 1n
17 + 1n = 7 + -4n + 4n

Combine like terms: -4n + 4n = 0
17 + 1n = 7 + 0
17 + 1n = 7

Add '-17' to each side of the equation.
17 + -17 + 1n = 7 + -17

Combine like terms: 17 + -17 = 0
0 + 1n = 7 + -17
1n = 7 + -17

Combine like terms: 7 + -17 = -10
1n = -10

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

Simplifying
n = -10

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