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

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


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

Reorder the terms:
4(-3 + k) = 6(3k + 2)
(-3 * 4 + k * 4) = 6(3k + 2)
(-12 + 4k) = 6(3k + 2)

Reorder the terms:
-12 + 4k = 6(2 + 3k)
-12 + 4k = (2 * 6 + 3k * 6)
-12 + 4k = (12 + 18k)

Solving
-12 + 4k = 12 + 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 + 4k + -18k = 12 + 18k + -18k

Combine like terms: 4k + -18k = -14k
-12 + -14k = 12 + 18k + -18k

Combine like terms: 18k + -18k = 0
-12 + -14k = 12 + 0
-12 + -14k = 12

Add '12' to each side of the equation.
-12 + 12 + -14k = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -14k = 12 + 12
-14k = 12 + 12

Combine like terms: 12 + 12 = 24
-14k = 24

Divide each side by '-14'.
k = -1.714285714

Simplifying
k = -1.714285714

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