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

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


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

Reorder the terms:
3(-5 + k) = -2(3k + -6)
(-5 * 3 + k * 3) = -2(3k + -6)
(-15 + 3k) = -2(3k + -6)

Reorder the terms:
-15 + 3k = -2(-6 + 3k)
-15 + 3k = (-6 * -2 + 3k * -2)
-15 + 3k = (12 + -6k)

Solving
-15 + 3k = 12 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-15 + 3k + 6k = 12 + -6k + 6k

Combine like terms: 3k + 6k = 9k
-15 + 9k = 12 + -6k + 6k

Combine like terms: -6k + 6k = 0
-15 + 9k = 12 + 0
-15 + 9k = 12

Add '15' to each side of the equation.
-15 + 15 + 9k = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 9k = 12 + 15
9k = 12 + 15

Combine like terms: 12 + 15 = 27
9k = 27

Divide each side by '9'.
k = 3

Simplifying
k = 3

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