-13=5(k-2)

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Solution for -13=5(k-2) equation:


Simplifying
-13 = 5(k + -2)

Reorder the terms:
-13 = 5(-2 + k)
-13 = (-2 * 5 + k * 5)
-13 = (-10 + 5k)

Solving
-13 = -10 + 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.
-13 + -5k = -10 + 5k + -5k

Combine like terms: 5k + -5k = 0
-13 + -5k = -10 + 0
-13 + -5k = -10

Add '13' to each side of the equation.
-13 + 13 + -5k = -10 + 13

Combine like terms: -13 + 13 = 0
0 + -5k = -10 + 13
-5k = -10 + 13

Combine like terms: -10 + 13 = 3
-5k = 3

Divide each side by '-5'.
k = -0.6

Simplifying
k = -0.6

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