2(1-3k)-3k=-5k+7(k-6)

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Solution for 2(1-3k)-3k=-5k+7(k-6) equation: 


Simplifying
2(1 + -3k) + -3k = -5k + 7(k + -6)
(1 * 2 + -3k * 2) + -3k = -5k + 7(k + -6)
(2 + -6k) + -3k = -5k + 7(k + -6)

Combine like terms: -6k + -3k = -9k
2 + -9k = -5k + 7(k + -6)

Reorder the terms:
2 + -9k = -5k + 7(-6 + k)
2 + -9k = -5k + (-6 * 7 + k * 7)
2 + -9k = -5k + (-42 + 7k)

Reorder the terms:
2 + -9k = -42 + -5k + 7k

Combine like terms: -5k + 7k = 2k
2 + -9k = -42 + 2k

Solving
2 + -9k = -42 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
2 + -9k + -2k = -42 + 2k + -2k

Combine like terms: -9k + -2k = -11k
2 + -11k = -42 + 2k + -2k

Combine like terms: 2k + -2k = 0
2 + -11k = -42 + 0
2 + -11k = -42

Add '-2' to each side of the equation.
2 + -2 + -11k = -42 + -2

Combine like terms: 2 + -2 = 0
0 + -11k = -42 + -2
-11k = -42 + -2

Combine like terms: -42 + -2 = -44
-11k = -44

Divide each side by '-11'.
k = 4

Simplifying
k = 4

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