5*5.25=(k*5.75)+(k-5)4.50

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Solution for 5*5.25=(k*5.75)+(k-5)4.50 equation: 


Simplifying
5 * 5.25 = (k * 5.75) + (k + -5) * 4.50

Multiply 5 * 5.25
26.25 = (k * 5.75) + (k + -5) * 4.50

Reorder the terms for easier multiplication:
26.25 = (5.75k) + (k + -5) * 4.50

Reorder the terms:
26.25 = (5.75k) + (-5 + k) * 4.50

Reorder the terms for easier multiplication:
26.25 = (5.75k) + 4.50(-5 + k)
26.25 = (5.75k) + (-5 * 4.50 + k * 4.50)
26.25 = (5.75k) + (-22.5 + 4.50k)

Reorder the terms:
26.25 = -22.5 + (5.75k) + 4.50k

Combine like terms: (5.75k) + 4.50k = 10.25k
26.25 = -22.5 + 10.25k

Solving
26.25 = -22.5 + 10.25k

Solving for variable 'k'.

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

Add '-10.25k' to each side of the equation.
26.25 + -10.25k = -22.5 + 10.25k + -10.25k

Combine like terms: 10.25k + -10.25k = 0.00
26.25 + -10.25k = -22.5 + 0.00
26.25 + -10.25k = -22.5

Add '-26.25' to each side of the equation.
26.25 + -26.25 + -10.25k = -22.5 + -26.25

Combine like terms: 26.25 + -26.25 = 0.00
0.00 + -10.25k = -22.5 + -26.25
-10.25k = -22.5 + -26.25

Combine like terms: -22.5 + -26.25 = -48.75
-10.25k = -48.75

Divide each side by '-10.25'.
k = 4.756097561

Simplifying
k = 4.756097561

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