2(k-4)=-6(k-7)+3k

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Solution for 2(k-4)=-6(k-7)+3k equation: 


Simplifying
2(k + -4) = -6(k + -7) + 3k

Reorder the terms:
2(-4 + k) = -6(k + -7) + 3k
(-4 * 2 + k * 2) = -6(k + -7) + 3k
(-8 + 2k) = -6(k + -7) + 3k

Reorder the terms:
-8 + 2k = -6(-7 + k) + 3k
-8 + 2k = (-7 * -6 + k * -6) + 3k
-8 + 2k = (42 + -6k) + 3k

Combine like terms: -6k + 3k = -3k
-8 + 2k = 42 + -3k

Solving
-8 + 2k = 42 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-8 + 2k + 3k = 42 + -3k + 3k

Combine like terms: 2k + 3k = 5k
-8 + 5k = 42 + -3k + 3k

Combine like terms: -3k + 3k = 0
-8 + 5k = 42 + 0
-8 + 5k = 42

Add '8' to each side of the equation.
-8 + 8 + 5k = 42 + 8

Combine like terms: -8 + 8 = 0
0 + 5k = 42 + 8
5k = 42 + 8

Combine like terms: 42 + 8 = 50
5k = 50

Divide each side by '5'.
k = 10

Simplifying
k = 10

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