-11(n-10)=-33(n-18)

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Solution for -11(n-10)=-33(n-18) equation: 


Simplifying
-11(n + -10) = -33(n + -18)

Reorder the terms:
-11(-10 + n) = -33(n + -18)
(-10 * -11 + n * -11) = -33(n + -18)
(110 + -11n) = -33(n + -18)

Reorder the terms:
110 + -11n = -33(-18 + n)
110 + -11n = (-18 * -33 + n * -33)
110 + -11n = (594 + -33n)

Solving
110 + -11n = 594 + -33n

Solving for variable 'n'.

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

Add '33n' to each side of the equation.
110 + -11n + 33n = 594 + -33n + 33n

Combine like terms: -11n + 33n = 22n
110 + 22n = 594 + -33n + 33n

Combine like terms: -33n + 33n = 0
110 + 22n = 594 + 0
110 + 22n = 594

Add '-110' to each side of the equation.
110 + -110 + 22n = 594 + -110

Combine like terms: 110 + -110 = 0
0 + 22n = 594 + -110
22n = 594 + -110

Combine like terms: 594 + -110 = 484
22n = 484

Divide each side by '22'.
n = 22

Simplifying
n = 22

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