8-8(2k-5)=-7(k+6)

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Solution for 8-8(2k-5)=-7(k+6) equation: 


Simplifying
8 + -8(2k + -5) = -7(k + 6)

Reorder the terms:
8 + -8(-5 + 2k) = -7(k + 6)
8 + (-5 * -8 + 2k * -8) = -7(k + 6)
8 + (40 + -16k) = -7(k + 6)

Combine like terms: 8 + 40 = 48
48 + -16k = -7(k + 6)

Reorder the terms:
48 + -16k = -7(6 + k)
48 + -16k = (6 * -7 + k * -7)
48 + -16k = (-42 + -7k)

Solving
48 + -16k = -42 + -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.
48 + -16k + 7k = -42 + -7k + 7k

Combine like terms: -16k + 7k = -9k
48 + -9k = -42 + -7k + 7k

Combine like terms: -7k + 7k = 0
48 + -9k = -42 + 0
48 + -9k = -42

Add '-48' to each side of the equation.
48 + -48 + -9k = -42 + -48

Combine like terms: 48 + -48 = 0
0 + -9k = -42 + -48
-9k = -42 + -48

Combine like terms: -42 + -48 = -90
-9k = -90

Divide each side by '-9'.
k = 10

Simplifying
k = 10

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