22=-3(5k+6)

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Solution for 22=-3(5k+6) equation: 


Simplifying
22 = -3(5k + 6)

Reorder the terms:
22 = -3(6 + 5k)
22 = (6 * -3 + 5k * -3)
22 = (-18 + -15k)

Solving
22 = -18 + -15k

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
22 + 15k = -18 + -15k + 15k

Combine like terms: -15k + 15k = 0
22 + 15k = -18 + 0
22 + 15k = -18

Add '-22' to each side of the equation.
22 + -22 + 15k = -18 + -22

Combine like terms: 22 + -22 = 0
0 + 15k = -18 + -22
15k = -18 + -22

Combine like terms: -18 + -22 = -40
15k = -40

Divide each side by '15'.
k = -2.666666667

Simplifying
k = -2.666666667

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