6(k+8)+5(4k+6)=0

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Solution for 6(k+8)+5(4k+6)=0 equation:


Simplifying
6(k + 8) + 5(4k + 6) = 0

Reorder the terms:
6(8 + k) + 5(4k + 6) = 0
(8 * 6 + k * 6) + 5(4k + 6) = 0
(48 + 6k) + 5(4k + 6) = 0

Reorder the terms:
48 + 6k + 5(6 + 4k) = 0
48 + 6k + (6 * 5 + 4k * 5) = 0
48 + 6k + (30 + 20k) = 0

Reorder the terms:
48 + 30 + 6k + 20k = 0

Combine like terms: 48 + 30 = 78
78 + 6k + 20k = 0

Combine like terms: 6k + 20k = 26k
78 + 26k = 0

Solving
78 + 26k = 0

Solving for variable 'k'.

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

Add '-78' to each side of the equation.
78 + -78 + 26k = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 26k = 0 + -78
26k = 0 + -78

Combine like terms: 0 + -78 = -78
26k = -78

Divide each side by '26'.
k = -3

Simplifying
k = -3

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