7-3(n-5)=2n+7

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Solution for 7-3(n-5)=2n+7 equation: 


Simplifying
7 + -3(n + -5) = 2n + 7

Reorder the terms:
7 + -3(-5 + n) = 2n + 7
7 + (-5 * -3 + n * -3) = 2n + 7
7 + (15 + -3n) = 2n + 7

Combine like terms: 7 + 15 = 22
22 + -3n = 2n + 7

Reorder the terms:
22 + -3n = 7 + 2n

Solving
22 + -3n = 7 + 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.
22 + -3n + -2n = 7 + 2n + -2n

Combine like terms: -3n + -2n = -5n
22 + -5n = 7 + 2n + -2n

Combine like terms: 2n + -2n = 0
22 + -5n = 7 + 0
22 + -5n = 7

Add '-22' to each side of the equation.
22 + -22 + -5n = 7 + -22

Combine like terms: 22 + -22 = 0
0 + -5n = 7 + -22
-5n = 7 + -22

Combine like terms: 7 + -22 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3

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