6(k-8)+4(-1-3k)=58

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Solution for 6(k-8)+4(-1-3k)=58 equation: 


Simplifying
6(k + -8) + 4(-1 + -3k) = 58

Reorder the terms:
6(-8 + k) + 4(-1 + -3k) = 58
(-8 * 6 + k * 6) + 4(-1 + -3k) = 58
(-48 + 6k) + 4(-1 + -3k) = 58
-48 + 6k + (-1 * 4 + -3k * 4) = 58
-48 + 6k + (-4 + -12k) = 58

Reorder the terms:
-48 + -4 + 6k + -12k = 58

Combine like terms: -48 + -4 = -52
-52 + 6k + -12k = 58

Combine like terms: 6k + -12k = -6k
-52 + -6k = 58

Solving
-52 + -6k = 58

Solving for variable 'k'.

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

Add '52' to each side of the equation.
-52 + 52 + -6k = 58 + 52

Combine like terms: -52 + 52 = 0
0 + -6k = 58 + 52
-6k = 58 + 52

Combine like terms: 58 + 52 = 110
-6k = 110

Divide each side by '-6'.
k = -18.33333333

Simplifying
k = -18.33333333

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