4-6(2n-7)=25-5n

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Solution for 4-6(2n-7)=25-5n equation:


Simplifying
4 + -6(2n + -7) = 25 + -5n

Reorder the terms:
4 + -6(-7 + 2n) = 25 + -5n
4 + (-7 * -6 + 2n * -6) = 25 + -5n
4 + (42 + -12n) = 25 + -5n

Combine like terms: 4 + 42 = 46
46 + -12n = 25 + -5n

Solving
46 + -12n = 25 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
46 + -12n + 5n = 25 + -5n + 5n

Combine like terms: -12n + 5n = -7n
46 + -7n = 25 + -5n + 5n

Combine like terms: -5n + 5n = 0
46 + -7n = 25 + 0
46 + -7n = 25

Add '-46' to each side of the equation.
46 + -46 + -7n = 25 + -46

Combine like terms: 46 + -46 = 0
0 + -7n = 25 + -46
-7n = 25 + -46

Combine like terms: 25 + -46 = -21
-7n = -21

Divide each side by '-7'.
n = 3

Simplifying
n = 3

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