-11(3-4k)-k=-12(-2k-2)

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Solution for -11(3-4k)-k=-12(-2k-2) equation:


Simplifying
-11(3 + -4k) + -1k = -12(-2k + -2)
(3 * -11 + -4k * -11) + -1k = -12(-2k + -2)
(-33 + 44k) + -1k = -12(-2k + -2)

Combine like terms: 44k + -1k = 43k
-33 + 43k = -12(-2k + -2)

Reorder the terms:
-33 + 43k = -12(-2 + -2k)
-33 + 43k = (-2 * -12 + -2k * -12)
-33 + 43k = (24 + 24k)

Solving
-33 + 43k = 24 + 24k

Solving for variable 'k'.

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

Add '-24k' to each side of the equation.
-33 + 43k + -24k = 24 + 24k + -24k

Combine like terms: 43k + -24k = 19k
-33 + 19k = 24 + 24k + -24k

Combine like terms: 24k + -24k = 0
-33 + 19k = 24 + 0
-33 + 19k = 24

Add '33' to each side of the equation.
-33 + 33 + 19k = 24 + 33

Combine like terms: -33 + 33 = 0
0 + 19k = 24 + 33
19k = 24 + 33

Combine like terms: 24 + 33 = 57
19k = 57

Divide each side by '19'.
k = 3

Simplifying
k = 3

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