-8(5k-6)+3(7k+2)=0

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Solution for -8(5k-6)+3(7k+2)=0 equation:


Simplifying
-8(5k + -6) + 3(7k + 2) = 0

Reorder the terms:
-8(-6 + 5k) + 3(7k + 2) = 0
(-6 * -8 + 5k * -8) + 3(7k + 2) = 0
(48 + -40k) + 3(7k + 2) = 0

Reorder the terms:
48 + -40k + 3(2 + 7k) = 0
48 + -40k + (2 * 3 + 7k * 3) = 0
48 + -40k + (6 + 21k) = 0

Reorder the terms:
48 + 6 + -40k + 21k = 0

Combine like terms: 48 + 6 = 54
54 + -40k + 21k = 0

Combine like terms: -40k + 21k = -19k
54 + -19k = 0

Solving
54 + -19k = 0

Solving for variable 'k'.

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

Add '-54' to each side of the equation.
54 + -54 + -19k = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -19k = 0 + -54
-19k = 0 + -54

Combine like terms: 0 + -54 = -54
-19k = -54

Divide each side by '-19'.
k = 2.842105263

Simplifying
k = 2.842105263

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