7(2+8k)-7(k-4)=-56

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Solution for 7(2+8k)-7(k-4)=-56 equation: 


Simplifying
7(2 + 8k) + -7(k + -4) = -56
(2 * 7 + 8k * 7) + -7(k + -4) = -56
(14 + 56k) + -7(k + -4) = -56

Reorder the terms:
14 + 56k + -7(-4 + k) = -56
14 + 56k + (-4 * -7 + k * -7) = -56
14 + 56k + (28 + -7k) = -56

Reorder the terms:
14 + 28 + 56k + -7k = -56

Combine like terms: 14 + 28 = 42
42 + 56k + -7k = -56

Combine like terms: 56k + -7k = 49k
42 + 49k = -56

Solving
42 + 49k = -56

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -42 + 49k = -56 + -42

Combine like terms: 42 + -42 = 0
0 + 49k = -56 + -42
49k = -56 + -42

Combine like terms: -56 + -42 = -98
49k = -98

Divide each side by '49'.
k = -2

Simplifying
k = -2

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