6(k-2)-(-3k-1)=8k

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Solution for 6(k-2)-(-3k-1)=8k equation: 


Simplifying
6(k + -2) + -1(-3k + -1) = 8k

Reorder the terms:
6(-2 + k) + -1(-3k + -1) = 8k
(-2 * 6 + k * 6) + -1(-3k + -1) = 8k
(-12 + 6k) + -1(-3k + -1) = 8k

Reorder the terms:
-12 + 6k + -1(-1 + -3k) = 8k
-12 + 6k + (-1 * -1 + -3k * -1) = 8k
-12 + 6k + (1 + 3k) = 8k

Reorder the terms:
-12 + 1 + 6k + 3k = 8k

Combine like terms: -12 + 1 = -11
-11 + 6k + 3k = 8k

Combine like terms: 6k + 3k = 9k
-11 + 9k = 8k

Solving
-11 + 9k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-11 + 9k + -8k = 8k + -8k

Combine like terms: 9k + -8k = 1k
-11 + 1k = 8k + -8k

Combine like terms: 8k + -8k = 0
-11 + 1k = 0

Add '11' to each side of the equation.
-11 + 11 + 1k = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 1k = 0 + 11
1k = 0 + 11

Combine like terms: 0 + 11 = 11
1k = 11

Divide each side by '1'.
k = 11

Simplifying
k = 11

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