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

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


Simplifying
9n + 3(3 + 7n) = 3 + 4(7n + -5)
9n + (3 * 3 + 7n * 3) = 3 + 4(7n + -5)
9n + (9 + 21n) = 3 + 4(7n + -5)

Reorder the terms:
9 + 9n + 21n = 3 + 4(7n + -5)

Combine like terms: 9n + 21n = 30n
9 + 30n = 3 + 4(7n + -5)

Reorder the terms:
9 + 30n = 3 + 4(-5 + 7n)
9 + 30n = 3 + (-5 * 4 + 7n * 4)
9 + 30n = 3 + (-20 + 28n)

Combine like terms: 3 + -20 = -17
9 + 30n = -17 + 28n

Solving
9 + 30n = -17 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
9 + 30n + -28n = -17 + 28n + -28n

Combine like terms: 30n + -28n = 2n
9 + 2n = -17 + 28n + -28n

Combine like terms: 28n + -28n = 0
9 + 2n = -17 + 0
9 + 2n = -17

Add '-9' to each side of the equation.
9 + -9 + 2n = -17 + -9

Combine like terms: 9 + -9 = 0
0 + 2n = -17 + -9
2n = -17 + -9

Combine like terms: -17 + -9 = -26
2n = -26

Divide each side by '2'.
n = -13

Simplifying
n = -13

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