-9(k-5)-(7k-9)=-17k

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Solution for -9(k-5)-(7k-9)=-17k equation: 


Simplifying
-9(k + -5) + -1(7k + -9) = -17k

Reorder the terms:
-9(-5 + k) + -1(7k + -9) = -17k
(-5 * -9 + k * -9) + -1(7k + -9) = -17k
(45 + -9k) + -1(7k + -9) = -17k

Reorder the terms:
45 + -9k + -1(-9 + 7k) = -17k
45 + -9k + (-9 * -1 + 7k * -1) = -17k
45 + -9k + (9 + -7k) = -17k

Reorder the terms:
45 + 9 + -9k + -7k = -17k

Combine like terms: 45 + 9 = 54
54 + -9k + -7k = -17k

Combine like terms: -9k + -7k = -16k
54 + -16k = -17k

Solving
54 + -16k = -17k

Solving for variable 'k'.

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

Add '17k' to each side of the equation.
54 + -16k + 17k = -17k + 17k

Combine like terms: -16k + 17k = 1k
54 + 1k = -17k + 17k

Combine like terms: -17k + 17k = 0
54 + 1k = 0

Add '-54' to each side of the equation.
54 + -54 + 1k = 0 + -54

Combine like terms: 54 + -54 = 0
0 + 1k = 0 + -54
1k = 0 + -54

Combine like terms: 0 + -54 = -54
1k = -54

Divide each side by '1'.
k = -54

Simplifying
k = -54

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