6(-6+8k)+5k=-89

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Solution for 6(-6+8k)+5k=-89 equation: 


Simplifying
6(-6 + 8k) + 5k = -89
(-6 * 6 + 8k * 6) + 5k = -89
(-36 + 48k) + 5k = -89

Combine like terms: 48k + 5k = 53k
-36 + 53k = -89

Solving
-36 + 53k = -89

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36 + 53k = -89 + 36

Combine like terms: -36 + 36 = 0
0 + 53k = -89 + 36
53k = -89 + 36

Combine like terms: -89 + 36 = -53
53k = -53

Divide each side by '53'.
k = -1

Simplifying
k = -1

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