.5(.75k-6)=.625(k+4)-.25k

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Solution for .5(.75k-6)=.625(k+4)-.25k equation: 


Simplifying
0.5(0.75k + -6) = 0.625(k + 4) + -0.25k

Reorder the terms:
0.5(-6 + 0.75k) = 0.625(k + 4) + -0.25k
(-6 * 0.5 + 0.75k * 0.5) = 0.625(k + 4) + -0.25k
(-3 + 0.375k) = 0.625(k + 4) + -0.25k

Reorder the terms:
-3 + 0.375k = 0.625(4 + k) + -0.25k
-3 + 0.375k = (4 * 0.625 + k * 0.625) + -0.25k
-3 + 0.375k = (2.5 + 0.625k) + -0.25k

Combine like terms: 0.625k + -0.25k = 0.375k
-3 + 0.375k = 2.5 + 0.375k

Add '-0.375k' to each side of the equation.
-3 + 0.375k + -0.375k = 2.5 + 0.375k + -0.375k

Combine like terms: 0.375k + -0.375k = 0.000
-3 + 0.000 = 2.5 + 0.375k + -0.375k
-3 = 2.5 + 0.375k + -0.375k

Combine like terms: 0.375k + -0.375k = 0.000
-3 = 2.5 + 0.000
-3 = 2.5

Solving
-3 = 2.5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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