5(10n-4)-10(9n+6)=

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Solution for 5(10n-4)-10(9n+6)= equation:


Simplifying
5(10n + -4) + -10(9n + 6) = 0

Reorder the terms:
5(-4 + 10n) + -10(9n + 6) = 0
(-4 * 5 + 10n * 5) + -10(9n + 6) = 0
(-20 + 50n) + -10(9n + 6) = 0

Reorder the terms:
-20 + 50n + -10(6 + 9n) = 0
-20 + 50n + (6 * -10 + 9n * -10) = 0
-20 + 50n + (-60 + -90n) = 0

Reorder the terms:
-20 + -60 + 50n + -90n = 0

Combine like terms: -20 + -60 = -80
-80 + 50n + -90n = 0

Combine like terms: 50n + -90n = -40n
-80 + -40n = 0

Solving
-80 + -40n = 0

Solving for variable 'n'.

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

Add '80' to each side of the equation.
-80 + 80 + -40n = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -40n = 0 + 80
-40n = 0 + 80

Combine like terms: 0 + 80 = 80
-40n = 80

Divide each side by '-40'.
n = -2

Simplifying
n = -2

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