3k-6=8k+24

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Solution for 3k-6=8k+24 equation:


Simplifying
3k + -6 = 8k + 24

Reorder the terms:
-6 + 3k = 8k + 24

Reorder the terms:
-6 + 3k = 24 + 8k

Solving
-6 + 3k = 24 + 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.
-6 + 3k + -8k = 24 + 8k + -8k

Combine like terms: 3k + -8k = -5k
-6 + -5k = 24 + 8k + -8k

Combine like terms: 8k + -8k = 0
-6 + -5k = 24 + 0
-6 + -5k = 24

Add '6' to each side of the equation.
-6 + 6 + -5k = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -5k = 24 + 6
-5k = 24 + 6

Combine like terms: 24 + 6 = 30
-5k = 30

Divide each side by '-5'.
k = -6

Simplifying
k = -6

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