0.5k-(k+0.5)=0.75(K+2)

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Solution for 0.5k-(k+0.5)=0.75(K+2) equation: 


Simplifying
0.5k + -1(k + 0.5) = 0.75(K + 2)

Reorder the terms:
0.5k + -1(0.5 + k) = 0.75(K + 2)
0.5k + (0.5 * -1 + k * -1) = 0.75(K + 2)
0.5k + (-0.5 + -1k) = 0.75(K + 2)

Reorder the terms:
-0.5 + 0.5k + -1k = 0.75(K + 2)

Combine like terms: 0.5k + -1k = -0.5k
-0.5 + -0.5k = 0.75(K + 2)

Reorder the terms:
-0.5 + -0.5k = 0.75(2 + K)
-0.5 + -0.5k = (2 * 0.75 + K * 0.75)
-0.5 + -0.5k = (1.5 + 0.75K)

Solving
-0.5 + -0.5k = 1.5 + 0.75K

Solving for variable 'k'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -0.5k = 1.5 + 0.5 + 0.75K

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -0.5k = 1.5 + 0.5 + 0.75K
-0.5k = 1.5 + 0.5 + 0.75K

Combine like terms: 1.5 + 0.5 = 2
-0.5k = 2 + 0.75K

Divide each side by '-0.5'.
k = -4 + -1.5K

Simplifying
k = -4 + -1.5K

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