18.5+5.5k=2.5(8.5k+6)

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Solution for 18.5+5.5k=2.5(8.5k+6) equation: 


Simplifying
18.5 + 5.5k = 2.5(8.5k + 6)

Reorder the terms:
18.5 + 5.5k = 2.5(6 + 8.5k)
18.5 + 5.5k = (6 * 2.5 + 8.5k * 2.5)
18.5 + 5.5k = (15 + 21.25k)

Solving
18.5 + 5.5k = 15 + 21.25k

Solving for variable 'k'.

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

Add '-21.25k' to each side of the equation.
18.5 + 5.5k + -21.25k = 15 + 21.25k + -21.25k

Combine like terms: 5.5k + -21.25k = -15.75k
18.5 + -15.75k = 15 + 21.25k + -21.25k

Combine like terms: 21.25k + -21.25k = 0.00
18.5 + -15.75k = 15 + 0.00
18.5 + -15.75k = 15

Add '-18.5' to each side of the equation.
18.5 + -18.5 + -15.75k = 15 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -15.75k = 15 + -18.5
-15.75k = 15 + -18.5

Combine like terms: 15 + -18.5 = -3.5
-15.75k = -3.5

Divide each side by '-15.75'.
k = 0.2222222222

Simplifying
k = 0.2222222222

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