6(2.25k-5.5)=10.5-k

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Solution for 6(2.25k-5.5)=10.5-k equation: 


Simplifying
6(2.25k + -5.5) = 10.5 + -1k

Reorder the terms:
6(-5.5 + 2.25k) = 10.5 + -1k
(-5.5 * 6 + 2.25k * 6) = 10.5 + -1k
(-33 + 13.5k) = 10.5 + -1k

Solving
-33 + 13.5k = 10.5 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-33 + 13.5k + k = 10.5 + -1k + k

Combine like terms: 13.5k + k = 14.5k
-33 + 14.5k = 10.5 + -1k + k

Combine like terms: -1k + k = 0
-33 + 14.5k = 10.5 + 0
-33 + 14.5k = 10.5

Add '33' to each side of the equation.
-33 + 33 + 14.5k = 10.5 + 33

Combine like terms: -33 + 33 = 0
0 + 14.5k = 10.5 + 33
14.5k = 10.5 + 33

Combine like terms: 10.5 + 33 = 43.5
14.5k = 43.5

Divide each side by '14.5'.
k = 3

Simplifying
k = 3

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