5(k+7)=24-6k

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Solution for 5(k+7)=24-6k equation:


Simplifying
5(k + 7) = 24 + -6k

Reorder the terms:
5(7 + k) = 24 + -6k
(7 * 5 + k * 5) = 24 + -6k
(35 + 5k) = 24 + -6k

Solving
35 + 5k = 24 + -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.
35 + 5k + 6k = 24 + -6k + 6k

Combine like terms: 5k + 6k = 11k
35 + 11k = 24 + -6k + 6k

Combine like terms: -6k + 6k = 0
35 + 11k = 24 + 0
35 + 11k = 24

Add '-35' to each side of the equation.
35 + -35 + 11k = 24 + -35

Combine like terms: 35 + -35 = 0
0 + 11k = 24 + -35
11k = 24 + -35

Combine like terms: 24 + -35 = -11
11k = -11

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

Simplifying
k = -1

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