17-3k=8k+7(6+2k)

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Solution for 17-3k=8k+7(6+2k) equation: 


Simplifying
17 + -3k = 8k + 7(6 + 2k)
17 + -3k = 8k + (6 * 7 + 2k * 7)
17 + -3k = 8k + (42 + 14k)

Reorder the terms:
17 + -3k = 42 + 8k + 14k

Combine like terms: 8k + 14k = 22k
17 + -3k = 42 + 22k

Solving
17 + -3k = 42 + 22k

Solving for variable 'k'.

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

Add '-22k' to each side of the equation.
17 + -3k + -22k = 42 + 22k + -22k

Combine like terms: -3k + -22k = -25k
17 + -25k = 42 + 22k + -22k

Combine like terms: 22k + -22k = 0
17 + -25k = 42 + 0
17 + -25k = 42

Add '-17' to each side of the equation.
17 + -17 + -25k = 42 + -17

Combine like terms: 17 + -17 = 0
0 + -25k = 42 + -17
-25k = 42 + -17

Combine like terms: 42 + -17 = 25
-25k = 25

Divide each side by '-25'.
k = -1

Simplifying
k = -1

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