-5(n-9)-(1+4n)=-10n

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Solution for -5(n-9)-(1+4n)=-10n equation:


Simplifying
-5(n + -9) + -1(1 + 4n) = -10n

Reorder the terms:
-5(-9 + n) + -1(1 + 4n) = -10n
(-9 * -5 + n * -5) + -1(1 + 4n) = -10n
(45 + -5n) + -1(1 + 4n) = -10n
45 + -5n + (1 * -1 + 4n * -1) = -10n
45 + -5n + (-1 + -4n) = -10n

Reorder the terms:
45 + -1 + -5n + -4n = -10n

Combine like terms: 45 + -1 = 44
44 + -5n + -4n = -10n

Combine like terms: -5n + -4n = -9n
44 + -9n = -10n

Solving
44 + -9n = -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.
44 + -9n + 10n = -10n + 10n

Combine like terms: -9n + 10n = 1n
44 + 1n = -10n + 10n

Combine like terms: -10n + 10n = 0
44 + 1n = 0

Add '-44' to each side of the equation.
44 + -44 + 1n = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 1n = 0 + -44
1n = 0 + -44

Combine like terms: 0 + -44 = -44
1n = -44

Divide each side by '1'.
n = -44

Simplifying
n = -44

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