-6(8k-5)+3(5k-5)=10

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Solution for -6(8k-5)+3(5k-5)=10 equation: 


Simplifying
-6(8k + -5) + 3(5k + -5) = 10

Reorder the terms:
-6(-5 + 8k) + 3(5k + -5) = 10
(-5 * -6 + 8k * -6) + 3(5k + -5) = 10
(30 + -48k) + 3(5k + -5) = 10

Reorder the terms:
30 + -48k + 3(-5 + 5k) = 10
30 + -48k + (-5 * 3 + 5k * 3) = 10
30 + -48k + (-15 + 15k) = 10

Reorder the terms:
30 + -15 + -48k + 15k = 10

Combine like terms: 30 + -15 = 15
15 + -48k + 15k = 10

Combine like terms: -48k + 15k = -33k
15 + -33k = 10

Solving
15 + -33k = 10

Solving for variable 'k'.

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

Add '-15' to each side of the equation.
15 + -15 + -33k = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -33k = 10 + -15
-33k = 10 + -15

Combine like terms: 10 + -15 = -5
-33k = -5

Divide each side by '-33'.
k = 0.1515151515

Simplifying
k = 0.1515151515

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