5(4n+31)+9(n+1)=

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Solution for 5(4n+31)+9(n+1)= equation:


Simplifying
5(4n + 31) + 9(n + 1) = 0

Reorder the terms:
5(31 + 4n) + 9(n + 1) = 0
(31 * 5 + 4n * 5) + 9(n + 1) = 0
(155 + 20n) + 9(n + 1) = 0

Reorder the terms:
155 + 20n + 9(1 + n) = 0
155 + 20n + (1 * 9 + n * 9) = 0
155 + 20n + (9 + 9n) = 0

Reorder the terms:
155 + 9 + 20n + 9n = 0

Combine like terms: 155 + 9 = 164
164 + 20n + 9n = 0

Combine like terms: 20n + 9n = 29n
164 + 29n = 0

Solving
164 + 29n = 0

Solving for variable 'n'.

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

Add '-164' to each side of the equation.
164 + -164 + 29n = 0 + -164

Combine like terms: 164 + -164 = 0
0 + 29n = 0 + -164
29n = 0 + -164

Combine like terms: 0 + -164 = -164
29n = -164

Divide each side by '29'.
n = -5.655172414

Simplifying
n = -5.655172414

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