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

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


Simplifying
-7(n + 8) + -1(-9n + -9) = n

Reorder the terms:
-7(8 + n) + -1(-9n + -9) = n
(8 * -7 + n * -7) + -1(-9n + -9) = n
(-56 + -7n) + -1(-9n + -9) = n

Reorder the terms:
-56 + -7n + -1(-9 + -9n) = n
-56 + -7n + (-9 * -1 + -9n * -1) = n
-56 + -7n + (9 + 9n) = n

Reorder the terms:
-56 + 9 + -7n + 9n = n

Combine like terms: -56 + 9 = -47
-47 + -7n + 9n = n

Combine like terms: -7n + 9n = 2n
-47 + 2n = n

Solving
-47 + 2n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-47 + 2n + -1n = n + -1n

Combine like terms: 2n + -1n = 1n
-47 + 1n = n + -1n

Combine like terms: n + -1n = 0
-47 + 1n = 0

Add '47' to each side of the equation.
-47 + 47 + 1n = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 1n = 0 + 47
1n = 0 + 47

Combine like terms: 0 + 47 = 47
1n = 47

Divide each side by '1'.
n = 47

Simplifying
n = 47

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