(9n-21)=(-35+7n)

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Solution for (9n-21)=(-35+7n) equation:


Simplifying
(9n + -21) = (-35 + 7n)

Reorder the terms:
(-21 + 9n) = (-35 + 7n)

Remove parenthesis around (-21 + 9n)
-21 + 9n = (-35 + 7n)

Remove parenthesis around (-35 + 7n)
-21 + 9n = -35 + 7n

Solving
-21 + 9n = -35 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-21 + 9n + -7n = -35 + 7n + -7n

Combine like terms: 9n + -7n = 2n
-21 + 2n = -35 + 7n + -7n

Combine like terms: 7n + -7n = 0
-21 + 2n = -35 + 0
-21 + 2n = -35

Add '21' to each side of the equation.
-21 + 21 + 2n = -35 + 21

Combine like terms: -21 + 21 = 0
0 + 2n = -35 + 21
2n = -35 + 21

Combine like terms: -35 + 21 = -14
2n = -14

Divide each side by '2'.
n = -7

Simplifying
n = -7

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