-4(k-2)+14=3k-20

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Solution for -4(k-2)+14=3k-20 equation: 


Simplifying
-4(k + -2) + 14 = 3k + -20

Reorder the terms:
-4(-2 + k) + 14 = 3k + -20
(-2 * -4 + k * -4) + 14 = 3k + -20
(8 + -4k) + 14 = 3k + -20

Reorder the terms:
8 + 14 + -4k = 3k + -20

Combine like terms: 8 + 14 = 22
22 + -4k = 3k + -20

Reorder the terms:
22 + -4k = -20 + 3k

Solving
22 + -4k = -20 + 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.
22 + -4k + -3k = -20 + 3k + -3k

Combine like terms: -4k + -3k = -7k
22 + -7k = -20 + 3k + -3k

Combine like terms: 3k + -3k = 0
22 + -7k = -20 + 0
22 + -7k = -20

Add '-22' to each side of the equation.
22 + -22 + -7k = -20 + -22

Combine like terms: 22 + -22 = 0
0 + -7k = -20 + -22
-7k = -20 + -22

Combine like terms: -20 + -22 = -42
-7k = -42

Divide each side by '-7'.
k = 6

Simplifying
k = 6

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