4(-2k-8)=6(k+18)

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Solution for 4(-2k-8)=6(k+18) equation: 


Simplifying
4(-2k + -8) = 6(k + 18)

Reorder the terms:
4(-8 + -2k) = 6(k + 18)
(-8 * 4 + -2k * 4) = 6(k + 18)
(-32 + -8k) = 6(k + 18)

Reorder the terms:
-32 + -8k = 6(18 + k)
-32 + -8k = (18 * 6 + k * 6)
-32 + -8k = (108 + 6k)

Solving
-32 + -8k = 108 + 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.
-32 + -8k + -6k = 108 + 6k + -6k

Combine like terms: -8k + -6k = -14k
-32 + -14k = 108 + 6k + -6k

Combine like terms: 6k + -6k = 0
-32 + -14k = 108 + 0
-32 + -14k = 108

Add '32' to each side of the equation.
-32 + 32 + -14k = 108 + 32

Combine like terms: -32 + 32 = 0
0 + -14k = 108 + 32
-14k = 108 + 32

Combine like terms: 108 + 32 = 140
-14k = 140

Divide each side by '-14'.
k = -10

Simplifying
k = -10

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