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

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


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

Reorder the terms:
6(-3 + 2k) + -3k = -1(k + 2)
(-3 * 6 + 2k * 6) + -3k = -1(k + 2)
(-18 + 12k) + -3k = -1(k + 2)

Combine like terms: 12k + -3k = 9k
-18 + 9k = -1(k + 2)

Reorder the terms:
-18 + 9k = -1(2 + k)
-18 + 9k = (2 * -1 + k * -1)
-18 + 9k = (-2 + -1k)

Solving
-18 + 9k = -2 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-18 + 9k + k = -2 + -1k + k

Combine like terms: 9k + k = 10k
-18 + 10k = -2 + -1k + k

Combine like terms: -1k + k = 0
-18 + 10k = -2 + 0
-18 + 10k = -2

Add '18' to each side of the equation.
-18 + 18 + 10k = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 10k = -2 + 18
10k = -2 + 18

Combine like terms: -2 + 18 = 16
10k = 16

Divide each side by '10'.
k = 1.6

Simplifying
k = 1.6

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