.5k-(k+.5)=.25k+2

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Solution for .5k-(k+.5)=.25k+2 equation:


Simplifying
0.5k + -1(k + 0.5) = 0.25k + 2

Reorder the terms:
0.5k + -1(0.5 + k) = 0.25k + 2
0.5k + (0.5 * -1 + k * -1) = 0.25k + 2
0.5k + (-0.5 + -1k) = 0.25k + 2

Reorder the terms:
-0.5 + 0.5k + -1k = 0.25k + 2

Combine like terms: 0.5k + -1k = -0.5k
-0.5 + -0.5k = 0.25k + 2

Reorder the terms:
-0.5 + -0.5k = 2 + 0.25k

Solving
-0.5 + -0.5k = 2 + 0.25k

Solving for variable 'k'.

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

Add '-0.25k' to each side of the equation.
-0.5 + -0.5k + -0.25k = 2 + 0.25k + -0.25k

Combine like terms: -0.5k + -0.25k = -0.75k
-0.5 + -0.75k = 2 + 0.25k + -0.25k

Combine like terms: 0.25k + -0.25k = 0.00
-0.5 + -0.75k = 2 + 0.00
-0.5 + -0.75k = 2

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -0.75k = 2 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -0.75k = 2 + 0.5
-0.75k = 2 + 0.5

Combine like terms: 2 + 0.5 = 2.5
-0.75k = 2.5

Divide each side by '-0.75'.
k = -3.333333333

Simplifying
k = -3.333333333

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