5(k-4)-3(k-6)=0

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Solution for 5(k-4)-3(k-6)=0 equation:


Simplifying
5(k + -4) + -3(k + -6) = 0

Reorder the terms:
5(-4 + k) + -3(k + -6) = 0
(-4 * 5 + k * 5) + -3(k + -6) = 0
(-20 + 5k) + -3(k + -6) = 0

Reorder the terms:
-20 + 5k + -3(-6 + k) = 0
-20 + 5k + (-6 * -3 + k * -3) = 0
-20 + 5k + (18 + -3k) = 0

Reorder the terms:
-20 + 18 + 5k + -3k = 0

Combine like terms: -20 + 18 = -2
-2 + 5k + -3k = 0

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

Solving
-2 + 2k = 0

Solving for variable 'k'.

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

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

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

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

Divide each side by '2'.
k = 1

Simplifying
k = 1

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