3(k-4)=5k-2

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Solution for 3(k-4)=5k-2 equation:


Simplifying
3(k + -4) = 5k + -2

Reorder the terms:
3(-4 + k) = 5k + -2
(-4 * 3 + k * 3) = 5k + -2
(-12 + 3k) = 5k + -2

Reorder the terms:
-12 + 3k = -2 + 5k

Solving
-12 + 3k = -2 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-12 + 3k + -5k = -2 + 5k + -5k

Combine like terms: 3k + -5k = -2k
-12 + -2k = -2 + 5k + -5k

Combine like terms: 5k + -5k = 0
-12 + -2k = -2 + 0
-12 + -2k = -2

Add '12' to each side of the equation.
-12 + 12 + -2k = -2 + 12

Combine like terms: -12 + 12 = 0
0 + -2k = -2 + 12
-2k = -2 + 12

Combine like terms: -2 + 12 = 10
-2k = 10

Divide each side by '-2'.
k = -5

Simplifying
k = -5

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