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

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


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

Reorder the terms:
4.50(-5 + k) + 4.50k = 5.25(5)
(-5 * 4.50 + k * 4.50) + 4.50k = 5.25(5)
(-22.5 + 4.50k) + 4.50k = 5.25(5)

Combine like terms: 4.50k + 4.50k = 9k
-22.5 + 9k = 5.25(5)

Multiply 5.25 * 5
-22.5 + 9k = 26.25

Solving
-22.5 + 9k = 26.25

Solving for variable 'k'.

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

Add '22.5' to each side of the equation.
-22.5 + 22.5 + 9k = 26.25 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + 9k = 26.25 + 22.5
9k = 26.25 + 22.5

Combine like terms: 26.25 + 22.5 = 48.75
9k = 48.75

Divide each side by '9'.
k = 5.416666667

Simplifying
k = 5.416666667

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