-9-8n-5=-2(9n-8)+5(n+4)

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Solution for -9-8n-5=-2(9n-8)+5(n+4) equation:


Simplifying
-9 + -8n + -5 = -2(9n + -8) + 5(n + 4)

Reorder the terms:
-9 + -5 + -8n = -2(9n + -8) + 5(n + 4)

Combine like terms: -9 + -5 = -14
-14 + -8n = -2(9n + -8) + 5(n + 4)

Reorder the terms:
-14 + -8n = -2(-8 + 9n) + 5(n + 4)
-14 + -8n = (-8 * -2 + 9n * -2) + 5(n + 4)
-14 + -8n = (16 + -18n) + 5(n + 4)

Reorder the terms:
-14 + -8n = 16 + -18n + 5(4 + n)
-14 + -8n = 16 + -18n + (4 * 5 + n * 5)
-14 + -8n = 16 + -18n + (20 + 5n)

Reorder the terms:
-14 + -8n = 16 + 20 + -18n + 5n

Combine like terms: 16 + 20 = 36
-14 + -8n = 36 + -18n + 5n

Combine like terms: -18n + 5n = -13n
-14 + -8n = 36 + -13n

Solving
-14 + -8n = 36 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
-14 + -8n + 13n = 36 + -13n + 13n

Combine like terms: -8n + 13n = 5n
-14 + 5n = 36 + -13n + 13n

Combine like terms: -13n + 13n = 0
-14 + 5n = 36 + 0
-14 + 5n = 36

Add '14' to each side of the equation.
-14 + 14 + 5n = 36 + 14

Combine like terms: -14 + 14 = 0
0 + 5n = 36 + 14
5n = 36 + 14

Combine like terms: 36 + 14 = 50
5n = 50

Divide each side by '5'.
n = 10

Simplifying
n = 10

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