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

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


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

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

Combine like terms: 6k + k = 7k
-40 + 8k = -42 + 7k

Solving
-40 + 8k = -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.
-40 + 8k + -7k = -42 + 7k + -7k

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

Combine like terms: 7k + -7k = 0
-40 + 1k = -42 + 0
-40 + 1k = -42

Add '40' to each side of the equation.
-40 + 40 + 1k = -42 + 40

Combine like terms: -40 + 40 = 0
0 + 1k = -42 + 40
1k = -42 + 40

Combine like terms: -42 + 40 = -2
1k = -2

Divide each side by '1'.
k = -2

Simplifying
k = -2

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