10+5k=5-8(7+7k)

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Solution for 10+5k=5-8(7+7k) equation: 


Simplifying
10 + 5k = 5 + -8(7 + 7k)
10 + 5k = 5 + (7 * -8 + 7k * -8)
10 + 5k = 5 + (-56 + -56k)

Combine like terms: 5 + -56 = -51
10 + 5k = -51 + -56k

Solving
10 + 5k = -51 + -56k

Solving for variable 'k'.

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

Add '56k' to each side of the equation.
10 + 5k + 56k = -51 + -56k + 56k

Combine like terms: 5k + 56k = 61k
10 + 61k = -51 + -56k + 56k

Combine like terms: -56k + 56k = 0
10 + 61k = -51 + 0
10 + 61k = -51

Add '-10' to each side of the equation.
10 + -10 + 61k = -51 + -10

Combine like terms: 10 + -10 = 0
0 + 61k = -51 + -10
61k = -51 + -10

Combine like terms: -51 + -10 = -61
61k = -61

Divide each side by '61'.
k = -1

Simplifying
k = -1

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