3(2k+1)=-5k-8

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Solution for 3(2k+1)=-5k-8 equation: 


Simplifying
3(2k + 1) = -5k + -8

Reorder the terms:
3(1 + 2k) = -5k + -8
(1 * 3 + 2k * 3) = -5k + -8
(3 + 6k) = -5k + -8

Reorder the terms:
3 + 6k = -8 + -5k

Solving
3 + 6k = -8 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
3 + 6k + 5k = -8 + -5k + 5k

Combine like terms: 6k + 5k = 11k
3 + 11k = -8 + -5k + 5k

Combine like terms: -5k + 5k = 0
3 + 11k = -8 + 0
3 + 11k = -8

Add '-3' to each side of the equation.
3 + -3 + 11k = -8 + -3

Combine like terms: 3 + -3 = 0
0 + 11k = -8 + -3
11k = -8 + -3

Combine like terms: -8 + -3 = -11
11k = -11

Divide each side by '11'.
k = -1

Simplifying
k = -1

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