-18.5+2k=4.5(8k-2.5)

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Solution for -18.5+2k=4.5(8k-2.5) equation: 


Simplifying
-18.5 + 2k = 4.5(8k + -2.5)

Reorder the terms:
-18.5 + 2k = 4.5(-2.5 + 8k)
-18.5 + 2k = (-2.5 * 4.5 + 8k * 4.5)
-18.5 + 2k = (-11.25 + 36k)

Solving
-18.5 + 2k = -11.25 + 36k

Solving for variable 'k'.

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

Add '-36k' to each side of the equation.
-18.5 + 2k + -36k = -11.25 + 36k + -36k

Combine like terms: 2k + -36k = -34k
-18.5 + -34k = -11.25 + 36k + -36k

Combine like terms: 36k + -36k = 0
-18.5 + -34k = -11.25 + 0
-18.5 + -34k = -11.25

Add '18.5' to each side of the equation.
-18.5 + 18.5 + -34k = -11.25 + 18.5

Combine like terms: -18.5 + 18.5 = 0.0
0.0 + -34k = -11.25 + 18.5
-34k = -11.25 + 18.5

Combine like terms: -11.25 + 18.5 = 7.25
-34k = 7.25

Divide each side by '-34'.
k = -0.2132352941

Simplifying
k = -0.2132352941

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