-5(3k-6)+3=-8k+34

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Solution for -5(3k-6)+3=-8k+34 equation: 


Simplifying
-5(3k + -6) + 3 = -8k + 34

Reorder the terms:
-5(-6 + 3k) + 3 = -8k + 34
(-6 * -5 + 3k * -5) + 3 = -8k + 34
(30 + -15k) + 3 = -8k + 34

Reorder the terms:
30 + 3 + -15k = -8k + 34

Combine like terms: 30 + 3 = 33
33 + -15k = -8k + 34

Reorder the terms:
33 + -15k = 34 + -8k

Solving
33 + -15k = 34 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
33 + -15k + 8k = 34 + -8k + 8k

Combine like terms: -15k + 8k = -7k
33 + -7k = 34 + -8k + 8k

Combine like terms: -8k + 8k = 0
33 + -7k = 34 + 0
33 + -7k = 34

Add '-33' to each side of the equation.
33 + -33 + -7k = 34 + -33

Combine like terms: 33 + -33 = 0
0 + -7k = 34 + -33
-7k = 34 + -33

Combine like terms: 34 + -33 = 1
-7k = 1

Divide each side by '-7'.
k = -0.1428571429

Simplifying
k = -0.1428571429

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