7(2k+4)-6=7k-20

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Solution for 7(2k+4)-6=7k-20 equation: 


Simplifying
7(2k + 4) + -6 = 7k + -20

Reorder the terms:
7(4 + 2k) + -6 = 7k + -20
(4 * 7 + 2k * 7) + -6 = 7k + -20
(28 + 14k) + -6 = 7k + -20

Reorder the terms:
28 + -6 + 14k = 7k + -20

Combine like terms: 28 + -6 = 22
22 + 14k = 7k + -20

Reorder the terms:
22 + 14k = -20 + 7k

Solving
22 + 14k = -20 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
22 + 14k + -7k = -20 + 7k + -7k

Combine like terms: 14k + -7k = 7k
22 + 7k = -20 + 7k + -7k

Combine like terms: 7k + -7k = 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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