9+4(n+7)=-3(-7n-5)+2

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Solution for 9+4(n+7)=-3(-7n-5)+2 equation: 


Simplifying
9 + 4(n + 7) = -3(-7n + -5) + 2

Reorder the terms:
9 + 4(7 + n) = -3(-7n + -5) + 2
9 + (7 * 4 + n * 4) = -3(-7n + -5) + 2
9 + (28 + 4n) = -3(-7n + -5) + 2

Combine like terms: 9 + 28 = 37
37 + 4n = -3(-7n + -5) + 2

Reorder the terms:
37 + 4n = -3(-5 + -7n) + 2
37 + 4n = (-5 * -3 + -7n * -3) + 2
37 + 4n = (15 + 21n) + 2

Reorder the terms:
37 + 4n = 15 + 2 + 21n

Combine like terms: 15 + 2 = 17
37 + 4n = 17 + 21n

Solving
37 + 4n = 17 + 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.
37 + 4n + -21n = 17 + 21n + -21n

Combine like terms: 4n + -21n = -17n
37 + -17n = 17 + 21n + -21n

Combine like terms: 21n + -21n = 0
37 + -17n = 17 + 0
37 + -17n = 17

Add '-37' to each side of the equation.
37 + -37 + -17n = 17 + -37

Combine like terms: 37 + -37 = 0
0 + -17n = 17 + -37
-17n = 17 + -37

Combine like terms: 17 + -37 = -20
-17n = -20

Divide each side by '-17'.
n = 1.176470588

Simplifying
n = 1.176470588

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