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

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


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

Reorder the terms:
2(5 + 5n) = 5(-4n + -4(n + 9))
(5 * 2 + 5n * 2) = 5(-4n + -4(n + 9))
(10 + 10n) = 5(-4n + -4(n + 9))

Reorder the terms:
10 + 10n = 5(-4n + -4(9 + n))
10 + 10n = 5(-4n + (9 * -4 + n * -4))
10 + 10n = 5(-4n + (-36 + -4n))

Reorder the terms:
10 + 10n = 5(-36 + -4n + -4n)

Combine like terms: -4n + -4n = -8n
10 + 10n = 5(-36 + -8n)
10 + 10n = (-36 * 5 + -8n * 5)
10 + 10n = (-180 + -40n)

Solving
10 + 10n = -180 + -40n

Solving for variable 'n'.

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

Add '40n' to each side of the equation.
10 + 10n + 40n = -180 + -40n + 40n

Combine like terms: 10n + 40n = 50n
10 + 50n = -180 + -40n + 40n

Combine like terms: -40n + 40n = 0
10 + 50n = -180 + 0
10 + 50n = -180

Add '-10' to each side of the equation.
10 + -10 + 50n = -180 + -10

Combine like terms: 10 + -10 = 0
0 + 50n = -180 + -10
50n = -180 + -10

Combine like terms: -180 + -10 = -190
50n = -190

Divide each side by '50'.
n = -3.8

Simplifying
n = -3.8

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