5n+4(n+4)=-4n+10

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Solution for 5n+4(n+4)=-4n+10 equation: 


Simplifying
5n + 4(n + 4) = -4n + 10

Reorder the terms:
5n + 4(4 + n) = -4n + 10
5n + (4 * 4 + n * 4) = -4n + 10
5n + (16 + 4n) = -4n + 10

Reorder the terms:
16 + 5n + 4n = -4n + 10

Combine like terms: 5n + 4n = 9n
16 + 9n = -4n + 10

Reorder the terms:
16 + 9n = 10 + -4n

Solving
16 + 9n = 10 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
16 + 9n + 4n = 10 + -4n + 4n

Combine like terms: 9n + 4n = 13n
16 + 13n = 10 + -4n + 4n

Combine like terms: -4n + 4n = 0
16 + 13n = 10 + 0
16 + 13n = 10

Add '-16' to each side of the equation.
16 + -16 + 13n = 10 + -16

Combine like terms: 16 + -16 = 0
0 + 13n = 10 + -16
13n = 10 + -16

Combine like terms: 10 + -16 = -6
13n = -6

Divide each side by '13'.
n = -0.4615384615

Simplifying
n = -0.4615384615

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