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

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


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

Reorder the terms:
5 + 5k = -6(6 + k) + 8
5 + 5k = (6 * -6 + k * -6) + 8
5 + 5k = (-36 + -6k) + 8

Reorder the terms:
5 + 5k = -36 + 8 + -6k

Combine like terms: -36 + 8 = -28
5 + 5k = -28 + -6k

Solving
5 + 5k = -28 + -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.
5 + 5k + 6k = -28 + -6k + 6k

Combine like terms: 5k + 6k = 11k
5 + 11k = -28 + -6k + 6k

Combine like terms: -6k + 6k = 0
5 + 11k = -28 + 0
5 + 11k = -28

Add '-5' to each side of the equation.
5 + -5 + 11k = -28 + -5

Combine like terms: 5 + -5 = 0
0 + 11k = -28 + -5
11k = -28 + -5

Combine like terms: -28 + -5 = -33
11k = -33

Divide each side by '11'.
k = -3

Simplifying
k = -3

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