-4(n-6)-(1+5n)=-10n

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Solution for -4(n-6)-(1+5n)=-10n equation:


Simplifying
-4(n + -6) + -1(1 + 5n) = -10n

Reorder the terms:
-4(-6 + n) + -1(1 + 5n) = -10n
(-6 * -4 + n * -4) + -1(1 + 5n) = -10n
(24 + -4n) + -1(1 + 5n) = -10n
24 + -4n + (1 * -1 + 5n * -1) = -10n
24 + -4n + (-1 + -5n) = -10n

Reorder the terms:
24 + -1 + -4n + -5n = -10n

Combine like terms: 24 + -1 = 23
23 + -4n + -5n = -10n

Combine like terms: -4n + -5n = -9n
23 + -9n = -10n

Solving
23 + -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.
23 + -9n + 10n = -10n + 10n

Combine like terms: -9n + 10n = 1n
23 + 1n = -10n + 10n

Combine like terms: -10n + 10n = 0
23 + 1n = 0

Add '-23' to each side of the equation.
23 + -23 + 1n = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 1n = 0 + -23
1n = 0 + -23

Combine like terms: 0 + -23 = -23
1n = -23

Divide each side by '1'.
n = -23

Simplifying
n = -23

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