(n+10)=(157+5n)+(5n-18)

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Solution for (n+10)=(157+5n)+(5n-18) equation:


Simplifying
(n + 10) = (157 + 5n) + (5n + -18)

Reorder the terms:
(10 + n) = (157 + 5n) + (5n + -18)

Remove parenthesis around (10 + n)
10 + n = (157 + 5n) + (5n + -18)

Remove parenthesis around (157 + 5n)
10 + n = 157 + 5n + (5n + -18)

Reorder the terms:
10 + n = 157 + 5n + (-18 + 5n)

Remove parenthesis around (-18 + 5n)
10 + n = 157 + 5n + -18 + 5n

Reorder the terms:
10 + n = 157 + -18 + 5n + 5n

Combine like terms: 157 + -18 = 139
10 + n = 139 + 5n + 5n

Combine like terms: 5n + 5n = 10n
10 + n = 139 + 10n

Solving
10 + n = 139 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
10 + n + -10n = 139 + 10n + -10n

Combine like terms: n + -10n = -9n
10 + -9n = 139 + 10n + -10n

Combine like terms: 10n + -10n = 0
10 + -9n = 139 + 0
10 + -9n = 139

Add '-10' to each side of the equation.
10 + -10 + -9n = 139 + -10

Combine like terms: 10 + -10 = 0
0 + -9n = 139 + -10
-9n = 139 + -10

Combine like terms: 139 + -10 = 129
-9n = 129

Divide each side by '-9'.
n = -14.33333333

Simplifying
n = -14.33333333

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