3(6k-16)=2k+8(k+6)

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Solution for 3(6k-16)=2k+8(k+6) equation: 


Simplifying
3(6k + -16) = 2k + 8(k + 6)

Reorder the terms:
3(-16 + 6k) = 2k + 8(k + 6)
(-16 * 3 + 6k * 3) = 2k + 8(k + 6)
(-48 + 18k) = 2k + 8(k + 6)

Reorder the terms:
-48 + 18k = 2k + 8(6 + k)
-48 + 18k = 2k + (6 * 8 + k * 8)
-48 + 18k = 2k + (48 + 8k)

Reorder the terms:
-48 + 18k = 48 + 2k + 8k

Combine like terms: 2k + 8k = 10k
-48 + 18k = 48 + 10k

Solving
-48 + 18k = 48 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
-48 + 18k + -10k = 48 + 10k + -10k

Combine like terms: 18k + -10k = 8k
-48 + 8k = 48 + 10k + -10k

Combine like terms: 10k + -10k = 0
-48 + 8k = 48 + 0
-48 + 8k = 48

Add '48' to each side of the equation.
-48 + 48 + 8k = 48 + 48

Combine like terms: -48 + 48 = 0
0 + 8k = 48 + 48
8k = 48 + 48

Combine like terms: 48 + 48 = 96
8k = 96

Divide each side by '8'.
k = 12

Simplifying
k = 12

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