7n+4(5-n)=-5-2n

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


Simplifying
7n + 4(5 + -1n) = -5 + -2n
7n + (5 * 4 + -1n * 4) = -5 + -2n
7n + (20 + -4n) = -5 + -2n

Reorder the terms:
20 + 7n + -4n = -5 + -2n

Combine like terms: 7n + -4n = 3n
20 + 3n = -5 + -2n

Solving
20 + 3n = -5 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
20 + 3n + 2n = -5 + -2n + 2n

Combine like terms: 3n + 2n = 5n
20 + 5n = -5 + -2n + 2n

Combine like terms: -2n + 2n = 0
20 + 5n = -5 + 0
20 + 5n = -5

Add '-20' to each side of the equation.
20 + -20 + 5n = -5 + -20

Combine like terms: 20 + -20 = 0
0 + 5n = -5 + -20
5n = -5 + -20

Combine like terms: -5 + -20 = -25
5n = -25

Divide each side by '5'.
n = -5

Simplifying
n = -5

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