-4(k-3)+6=-3k-16

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Solution for -4(k-3)+6=-3k-16 equation: 


Simplifying
-4(k + -3) + 6 = -3k + -16

Reorder the terms:
-4(-3 + k) + 6 = -3k + -16
(-3 * -4 + k * -4) + 6 = -3k + -16
(12 + -4k) + 6 = -3k + -16

Reorder the terms:
12 + 6 + -4k = -3k + -16

Combine like terms: 12 + 6 = 18
18 + -4k = -3k + -16

Reorder the terms:
18 + -4k = -16 + -3k

Solving
18 + -4k = -16 + -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.
18 + -4k + 3k = -16 + -3k + 3k

Combine like terms: -4k + 3k = -1k
18 + -1k = -16 + -3k + 3k

Combine like terms: -3k + 3k = 0
18 + -1k = -16 + 0
18 + -1k = -16

Add '-18' to each side of the equation.
18 + -18 + -1k = -16 + -18

Combine like terms: 18 + -18 = 0
0 + -1k = -16 + -18
-1k = -16 + -18

Combine like terms: -16 + -18 = -34
-1k = -34

Divide each side by '-1'.
k = 34

Simplifying
k = 34

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