0.75(2k-7)=-0.125(5-2k)

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Solution for 0.75(2k-7)=-0.125(5-2k) equation: 


Simplifying
0.75(2k + -7) = -0.125(5 + -2k)

Reorder the terms:
0.75(-7 + 2k) = -0.125(5 + -2k)
(-7 * 0.75 + 2k * 0.75) = -0.125(5 + -2k)
(-5.25 + 1.5k) = -0.125(5 + -2k)
-5.25 + 1.5k = (5 * -0.125 + -2k * -0.125)
-5.25 + 1.5k = (-0.625 + 0.25k)

Solving
-5.25 + 1.5k = -0.625 + 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.
-5.25 + 1.5k + -0.25k = -0.625 + 0.25k + -0.25k

Combine like terms: 1.5k + -0.25k = 1.25k
-5.25 + 1.25k = -0.625 + 0.25k + -0.25k

Combine like terms: 0.25k + -0.25k = 0.00
-5.25 + 1.25k = -0.625 + 0.00
-5.25 + 1.25k = -0.625

Add '5.25' to each side of the equation.
-5.25 + 5.25 + 1.25k = -0.625 + 5.25

Combine like terms: -5.25 + 5.25 = 0.00
0.00 + 1.25k = -0.625 + 5.25
1.25k = -0.625 + 5.25

Combine like terms: -0.625 + 5.25 = 4.625
1.25k = 4.625

Divide each side by '1.25'.
k = 3.7

Simplifying
k = 3.7

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