-8k-40=3-7(-2-7k)

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Solution for -8k-40=3-7(-2-7k) equation:


Simplifying
-8k + -40 = 3 + -7(-2 + -7k)

Reorder the terms:
-40 + -8k = 3 + -7(-2 + -7k)
-40 + -8k = 3 + (-2 * -7 + -7k * -7)
-40 + -8k = 3 + (14 + 49k)

Combine like terms: 3 + 14 = 17
-40 + -8k = 17 + 49k

Solving
-40 + -8k = 17 + 49k

Solving for variable 'k'.

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

Add '-49k' to each side of the equation.
-40 + -8k + -49k = 17 + 49k + -49k

Combine like terms: -8k + -49k = -57k
-40 + -57k = 17 + 49k + -49k

Combine like terms: 49k + -49k = 0
-40 + -57k = 17 + 0
-40 + -57k = 17

Add '40' to each side of the equation.
-40 + 40 + -57k = 17 + 40

Combine like terms: -40 + 40 = 0
0 + -57k = 17 + 40
-57k = 17 + 40

Combine like terms: 17 + 40 = 57
-57k = 57

Divide each side by '-57'.
k = -1

Simplifying
k = -1

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