-10k-k=3(2k-12)-11(2k-4)

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Solution for -10k-k=3(2k-12)-11(2k-4) equation:


Simplifying
-10k + -1k = 3(2k + -12) + -11(2k + -4)

Combine like terms: -10k + -1k = -11k
-11k = 3(2k + -12) + -11(2k + -4)

Reorder the terms:
-11k = 3(-12 + 2k) + -11(2k + -4)
-11k = (-12 * 3 + 2k * 3) + -11(2k + -4)
-11k = (-36 + 6k) + -11(2k + -4)

Reorder the terms:
-11k = -36 + 6k + -11(-4 + 2k)
-11k = -36 + 6k + (-4 * -11 + 2k * -11)
-11k = -36 + 6k + (44 + -22k)

Reorder the terms:
-11k = -36 + 44 + 6k + -22k

Combine like terms: -36 + 44 = 8
-11k = 8 + 6k + -22k

Combine like terms: 6k + -22k = -16k
-11k = 8 + -16k

Solving
-11k = 8 + -16k

Solving for variable 'k'.

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

Add '16k' to each side of the equation.
-11k + 16k = 8 + -16k + 16k

Combine like terms: -11k + 16k = 5k
5k = 8 + -16k + 16k

Combine like terms: -16k + 16k = 0
5k = 8 + 0
5k = 8

Divide each side by '5'.
k = 1.6

Simplifying
k = 1.6

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