-5n+3=-7n+7(4n-7)

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Solution for -5n+3=-7n+7(4n-7) equation:


Simplifying
-5n + 3 = -7n + 7(4n + -7)

Reorder the terms:
3 + -5n = -7n + 7(4n + -7)

Reorder the terms:
3 + -5n = -7n + 7(-7 + 4n)
3 + -5n = -7n + (-7 * 7 + 4n * 7)
3 + -5n = -7n + (-49 + 28n)

Reorder the terms:
3 + -5n = -49 + -7n + 28n

Combine like terms: -7n + 28n = 21n
3 + -5n = -49 + 21n

Solving
3 + -5n = -49 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
3 + -5n + -21n = -49 + 21n + -21n

Combine like terms: -5n + -21n = -26n
3 + -26n = -49 + 21n + -21n

Combine like terms: 21n + -21n = 0
3 + -26n = -49 + 0
3 + -26n = -49

Add '-3' to each side of the equation.
3 + -3 + -26n = -49 + -3

Combine like terms: 3 + -3 = 0
0 + -26n = -49 + -3
-26n = -49 + -3

Combine like terms: -49 + -3 = -52
-26n = -52

Divide each side by '-26'.
n = 2

Simplifying
n = 2

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