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

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


Simplifying
-6(k + -5) + -1(-5k + 8) = -3

Reorder the terms:
-6(-5 + k) + -1(-5k + 8) = -3
(-5 * -6 + k * -6) + -1(-5k + 8) = -3
(30 + -6k) + -1(-5k + 8) = -3

Reorder the terms:
30 + -6k + -1(8 + -5k) = -3
30 + -6k + (8 * -1 + -5k * -1) = -3
30 + -6k + (-8 + 5k) = -3

Reorder the terms:
30 + -8 + -6k + 5k = -3

Combine like terms: 30 + -8 = 22
22 + -6k + 5k = -3

Combine like terms: -6k + 5k = -1k
22 + -1k = -3

Solving
22 + -1k = -3

Solving for variable 'k'.

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

Add '-22' to each side of the equation.
22 + -22 + -1k = -3 + -22

Combine like terms: 22 + -22 = 0
0 + -1k = -3 + -22
-1k = -3 + -22

Combine like terms: -3 + -22 = -25
-1k = -25

Divide each side by '-1'.
k = 25

Simplifying
k = 25

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