9k-5k=-3(k+8)+9(k-2)

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Solution for 9k-5k=-3(k+8)+9(k-2) equation: 


Simplifying
9k + -5k = -3(k + 8) + 9(k + -2)

Combine like terms: 9k + -5k = 4k
4k = -3(k + 8) + 9(k + -2)

Reorder the terms:
4k = -3(8 + k) + 9(k + -2)
4k = (8 * -3 + k * -3) + 9(k + -2)
4k = (-24 + -3k) + 9(k + -2)

Reorder the terms:
4k = -24 + -3k + 9(-2 + k)
4k = -24 + -3k + (-2 * 9 + k * 9)
4k = -24 + -3k + (-18 + 9k)

Reorder the terms:
4k = -24 + -18 + -3k + 9k

Combine like terms: -24 + -18 = -42
4k = -42 + -3k + 9k

Combine like terms: -3k + 9k = 6k
4k = -42 + 6k

Solving
4k = -42 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
4k + -6k = -42 + 6k + -6k

Combine like terms: 4k + -6k = -2k
-2k = -42 + 6k + -6k

Combine like terms: 6k + -6k = 0
-2k = -42 + 0
-2k = -42

Divide each side by '-2'.
k = 21

Simplifying
k = 21

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