5n-4(-7-4n)=36+7n

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Solution for 5n-4(-7-4n)=36+7n equation:


Simplifying
5n + -4(-7 + -4n) = 36 + 7n
5n + (-7 * -4 + -4n * -4) = 36 + 7n
5n + (28 + 16n) = 36 + 7n

Reorder the terms:
28 + 5n + 16n = 36 + 7n

Combine like terms: 5n + 16n = 21n
28 + 21n = 36 + 7n

Solving
28 + 21n = 36 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
28 + 21n + -7n = 36 + 7n + -7n

Combine like terms: 21n + -7n = 14n
28 + 14n = 36 + 7n + -7n

Combine like terms: 7n + -7n = 0
28 + 14n = 36 + 0
28 + 14n = 36

Add '-28' to each side of the equation.
28 + -28 + 14n = 36 + -28

Combine like terms: 28 + -28 = 0
0 + 14n = 36 + -28
14n = 36 + -28

Combine like terms: 36 + -28 = 8
14n = 8

Divide each side by '14'.
n = 0.5714285714

Simplifying
n = 0.5714285714

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