3(-9k-8)-3k=-4(6+7k)+14

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Solution for 3(-9k-8)-3k=-4(6+7k)+14 equation: 


Simplifying
3(-9k + -8) + -3k = -4(6 + 7k) + 14

Reorder the terms:
3(-8 + -9k) + -3k = -4(6 + 7k) + 14
(-8 * 3 + -9k * 3) + -3k = -4(6 + 7k) + 14
(-24 + -27k) + -3k = -4(6 + 7k) + 14

Combine like terms: -27k + -3k = -30k
-24 + -30k = -4(6 + 7k) + 14
-24 + -30k = (6 * -4 + 7k * -4) + 14
-24 + -30k = (-24 + -28k) + 14

Reorder the terms:
-24 + -30k = -24 + 14 + -28k

Combine like terms: -24 + 14 = -10
-24 + -30k = -10 + -28k

Solving
-24 + -30k = -10 + -28k

Solving for variable 'k'.

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

Add '28k' to each side of the equation.
-24 + -30k + 28k = -10 + -28k + 28k

Combine like terms: -30k + 28k = -2k
-24 + -2k = -10 + -28k + 28k

Combine like terms: -28k + 28k = 0
-24 + -2k = -10 + 0
-24 + -2k = -10

Add '24' to each side of the equation.
-24 + 24 + -2k = -10 + 24

Combine like terms: -24 + 24 = 0
0 + -2k = -10 + 24
-2k = -10 + 24

Combine like terms: -10 + 24 = 14
-2k = 14

Divide each side by '-2'.
k = -7

Simplifying
k = -7

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