11k-(2k+4)=3(-k+8)

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Solution for 11k-(2k+4)=3(-k+8) equation:


Simplifying
11k + -1(2k + 4) = 3(-1k + 8)

Reorder the terms:
11k + -1(4 + 2k) = 3(-1k + 8)
11k + (4 * -1 + 2k * -1) = 3(-1k + 8)
11k + (-4 + -2k) = 3(-1k + 8)

Reorder the terms:
-4 + 11k + -2k = 3(-1k + 8)

Combine like terms: 11k + -2k = 9k
-4 + 9k = 3(-1k + 8)

Reorder the terms:
-4 + 9k = 3(8 + -1k)
-4 + 9k = (8 * 3 + -1k * 3)
-4 + 9k = (24 + -3k)

Solving
-4 + 9k = 24 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-4 + 9k + 3k = 24 + -3k + 3k

Combine like terms: 9k + 3k = 12k
-4 + 12k = 24 + -3k + 3k

Combine like terms: -3k + 3k = 0
-4 + 12k = 24 + 0
-4 + 12k = 24

Add '4' to each side of the equation.
-4 + 4 + 12k = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 12k = 24 + 4
12k = 24 + 4

Combine like terms: 24 + 4 = 28
12k = 28

Divide each side by '12'.
k = 2.333333333

Simplifying
k = 2.333333333

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