5(k-2)-3(k-6)=0

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


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

Reorder the terms:
5(-2 + k) + -3(k + -6) = 0
(-2 * 5 + k * 5) + -3(k + -6) = 0
(-10 + 5k) + -3(k + -6) = 0

Reorder the terms:
-10 + 5k + -3(-6 + k) = 0
-10 + 5k + (-6 * -3 + k * -3) = 0
-10 + 5k + (18 + -3k) = 0

Reorder the terms:
-10 + 18 + 5k + -3k = 0

Combine like terms: -10 + 18 = 8
8 + 5k + -3k = 0

Combine like terms: 5k + -3k = 2k
8 + 2k = 0

Solving
8 + 2k = 0

Solving for variable 'k'.

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

Add '-8' to each side of the equation.
8 + -8 + 2k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2k = 0 + -8
2k = 0 + -8

Combine like terms: 0 + -8 = -8
2k = -8

Divide each side by '2'.
k = -4

Simplifying
k = -4

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