6(k+2)=6(5-3k)

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Solution for 6(k+2)=6(5-3k) equation:


Simplifying
6(k + 2) = 6(5 + -3k)

Reorder the terms:
6(2 + k) = 6(5 + -3k)
(2 * 6 + k * 6) = 6(5 + -3k)
(12 + 6k) = 6(5 + -3k)
12 + 6k = (5 * 6 + -3k * 6)
12 + 6k = (30 + -18k)

Solving
12 + 6k = 30 + -18k

Solving for variable 'k'.

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

Add '18k' to each side of the equation.
12 + 6k + 18k = 30 + -18k + 18k

Combine like terms: 6k + 18k = 24k
12 + 24k = 30 + -18k + 18k

Combine like terms: -18k + 18k = 0
12 + 24k = 30 + 0
12 + 24k = 30

Add '-12' to each side of the equation.
12 + -12 + 24k = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 24k = 30 + -12
24k = 30 + -12

Combine like terms: 30 + -12 = 18
24k = 18

Divide each side by '24'.
k = 0.75

Simplifying
k = 0.75

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