-8k+40=1-7(k-6)

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Solution for -8k+40=1-7(k-6) equation: 


Simplifying
-8k + 40 = 1 + -7(k + -6)

Reorder the terms:
40 + -8k = 1 + -7(k + -6)

Reorder the terms:
40 + -8k = 1 + -7(-6 + k)
40 + -8k = 1 + (-6 * -7 + k * -7)
40 + -8k = 1 + (42 + -7k)

Combine like terms: 1 + 42 = 43
40 + -8k = 43 + -7k

Solving
40 + -8k = 43 + -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.
40 + -8k + 7k = 43 + -7k + 7k

Combine like terms: -8k + 7k = -1k
40 + -1k = 43 + -7k + 7k

Combine like terms: -7k + 7k = 0
40 + -1k = 43 + 0
40 + -1k = 43

Add '-40' to each side of the equation.
40 + -40 + -1k = 43 + -40

Combine like terms: 40 + -40 = 0
0 + -1k = 43 + -40
-1k = 43 + -40

Combine like terms: 43 + -40 = 3
-1k = 3

Divide each side by '-1'.
k = -3

Simplifying
k = -3

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