-224=-7(-7n-8)-9n

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Solution for -224=-7(-7n-8)-9n equation:


Simplifying
-224 = -7(-7n + -8) + -9n

Reorder the terms:
-224 = -7(-8 + -7n) + -9n
-224 = (-8 * -7 + -7n * -7) + -9n
-224 = (56 + 49n) + -9n

Combine like terms: 49n + -9n = 40n
-224 = 56 + 40n

Solving
-224 = 56 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
-224 + -40n = 56 + 40n + -40n

Combine like terms: 40n + -40n = 0
-224 + -40n = 56 + 0
-224 + -40n = 56

Add '224' to each side of the equation.
-224 + 224 + -40n = 56 + 224

Combine like terms: -224 + 224 = 0
0 + -40n = 56 + 224
-40n = 56 + 224

Combine like terms: 56 + 224 = 280
-40n = 280

Divide each side by '-40'.
n = -7

Simplifying
n = -7

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