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

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


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

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

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

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

Combine like terms: -45 + 7 = -38
-38 + 9k + 9k = 17k

Combine like terms: 9k + 9k = 18k
-38 + 18k = 17k

Solving
-38 + 18k = 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.
-38 + 18k + -17k = 17k + -17k

Combine like terms: 18k + -17k = 1k
-38 + 1k = 17k + -17k

Combine like terms: 17k + -17k = 0
-38 + 1k = 0

Add '38' to each side of the equation.
-38 + 38 + 1k = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 1k = 0 + 38
1k = 0 + 38

Combine like terms: 0 + 38 = 38
1k = 38

Divide each side by '1'.
k = 38

Simplifying
k = 38

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