3(8k-6)-6k=4(2k+3)

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Solution for 3(8k-6)-6k=4(2k+3) equation:


Simplifying
3(8k + -6) + -6k = 4(2k + 3)

Reorder the terms:
3(-6 + 8k) + -6k = 4(2k + 3)
(-6 * 3 + 8k * 3) + -6k = 4(2k + 3)
(-18 + 24k) + -6k = 4(2k + 3)

Combine like terms: 24k + -6k = 18k
-18 + 18k = 4(2k + 3)

Reorder the terms:
-18 + 18k = 4(3 + 2k)
-18 + 18k = (3 * 4 + 2k * 4)
-18 + 18k = (12 + 8k)

Solving
-18 + 18k = 12 + 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.
-18 + 18k + -8k = 12 + 8k + -8k

Combine like terms: 18k + -8k = 10k
-18 + 10k = 12 + 8k + -8k

Combine like terms: 8k + -8k = 0
-18 + 10k = 12 + 0
-18 + 10k = 12

Add '18' to each side of the equation.
-18 + 18 + 10k = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 10k = 12 + 18
10k = 12 + 18

Combine like terms: 12 + 18 = 30
10k = 30

Divide each side by '10'.
k = 3

Simplifying
k = 3

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