17=-5(k-5)-2(1-k)

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Solution for 17=-5(k-5)-2(1-k) equation: 


Simplifying
17 = -5(k + -5) + -2(1 + -1k)

Reorder the terms:
17 = -5(-5 + k) + -2(1 + -1k)
17 = (-5 * -5 + k * -5) + -2(1 + -1k)
17 = (25 + -5k) + -2(1 + -1k)
17 = 25 + -5k + (1 * -2 + -1k * -2)
17 = 25 + -5k + (-2 + 2k)

Reorder the terms:
17 = 25 + -2 + -5k + 2k

Combine like terms: 25 + -2 = 23
17 = 23 + -5k + 2k

Combine like terms: -5k + 2k = -3k
17 = 23 + -3k

Solving
17 = 23 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
17 + 3k = 23 + -3k + 3k

Combine like terms: -3k + 3k = 0
17 + 3k = 23 + 0
17 + 3k = 23

Add '-17' to each side of the equation.
17 + -17 + 3k = 23 + -17

Combine like terms: 17 + -17 = 0
0 + 3k = 23 + -17
3k = 23 + -17

Combine like terms: 23 + -17 = 6
3k = 6

Divide each side by '3'.
k = 2

Simplifying
k = 2

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