7=-5(n-4)-3

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


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

Reorder the terms:
7 = -5(-4 + n) + -3
7 = (-4 * -5 + n * -5) + -3
7 = (20 + -5n) + -3

Reorder the terms:
7 = 20 + -3 + -5n

Combine like terms: 20 + -3 = 17
7 = 17 + -5n

Solving
7 = 17 + -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.
7 + 5n = 17 + -5n + 5n

Combine like terms: -5n + 5n = 0
7 + 5n = 17 + 0
7 + 5n = 17

Add '-7' to each side of the equation.
7 + -7 + 5n = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 5n = 17 + -7
5n = 17 + -7

Combine like terms: 17 + -7 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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