20+5(8n+19)=20n+13n-8

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Solution for 20+5(8n+19)=20n+13n-8 equation: 


Simplifying
20 + 5(8n + 19) = 20n + 13n + -8

Reorder the terms:
20 + 5(19 + 8n) = 20n + 13n + -8
20 + (19 * 5 + 8n * 5) = 20n + 13n + -8
20 + (95 + 40n) = 20n + 13n + -8

Combine like terms: 20 + 95 = 115
115 + 40n = 20n + 13n + -8

Reorder the terms:
115 + 40n = -8 + 20n + 13n

Combine like terms: 20n + 13n = 33n
115 + 40n = -8 + 33n

Solving
115 + 40n = -8 + 33n

Solving for variable 'n'.

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

Add '-33n' to each side of the equation.
115 + 40n + -33n = -8 + 33n + -33n

Combine like terms: 40n + -33n = 7n
115 + 7n = -8 + 33n + -33n

Combine like terms: 33n + -33n = 0
115 + 7n = -8 + 0
115 + 7n = -8

Add '-115' to each side of the equation.
115 + -115 + 7n = -8 + -115

Combine like terms: 115 + -115 = 0
0 + 7n = -8 + -115
7n = -8 + -115

Combine like terms: -8 + -115 = -123
7n = -123

Divide each side by '7'.
n = -17.57142857

Simplifying
n = -17.57142857

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