3(2k-4)+3=-5k-2(k+4)

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Solution for 3(2k-4)+3=-5k-2(k+4) equation:


Simplifying
3(2k + -4) + 3 = -5k + -2(k + 4)

Reorder the terms:
3(-4 + 2k) + 3 = -5k + -2(k + 4)
(-4 * 3 + 2k * 3) + 3 = -5k + -2(k + 4)
(-12 + 6k) + 3 = -5k + -2(k + 4)

Reorder the terms:
-12 + 3 + 6k = -5k + -2(k + 4)

Combine like terms: -12 + 3 = -9
-9 + 6k = -5k + -2(k + 4)

Reorder the terms:
-9 + 6k = -5k + -2(4 + k)
-9 + 6k = -5k + (4 * -2 + k * -2)
-9 + 6k = -5k + (-8 + -2k)

Reorder the terms:
-9 + 6k = -8 + -5k + -2k

Combine like terms: -5k + -2k = -7k
-9 + 6k = -8 + -7k

Solving
-9 + 6k = -8 + -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
-9 + 6k + 7k = -8 + -7k + 7k

Combine like terms: 6k + 7k = 13k
-9 + 13k = -8 + -7k + 7k

Combine like terms: -7k + 7k = 0
-9 + 13k = -8 + 0
-9 + 13k = -8

Add '9' to each side of the equation.
-9 + 9 + 13k = -8 + 9

Combine like terms: -9 + 9 = 0
0 + 13k = -8 + 9
13k = -8 + 9

Combine like terms: -8 + 9 = 1
13k = 1

Divide each side by '13'.
k = 0.07692307692

Simplifying
k = 0.07692307692

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