-5.1(5.75-3.3k)=7.3k+36.432

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Solution for -5.1(5.75-3.3k)=7.3k+36.432 equation: 


Simplifying
-5.1(5.75 + -3.3k) = 7.3k + 36.432
(5.75 * -5.1 + -3.3k * -5.1) = 7.3k + 36.432
(-29.325 + 16.83k) = 7.3k + 36.432

Reorder the terms:
-29.325 + 16.83k = 36.432 + 7.3k

Solving
-29.325 + 16.83k = 36.432 + 7.3k

Solving for variable 'k'.

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

Add '-7.3k' to each side of the equation.
-29.325 + 16.83k + -7.3k = 36.432 + 7.3k + -7.3k

Combine like terms: 16.83k + -7.3k = 9.53k
-29.325 + 9.53k = 36.432 + 7.3k + -7.3k

Combine like terms: 7.3k + -7.3k = 0.0
-29.325 + 9.53k = 36.432 + 0.0
-29.325 + 9.53k = 36.432

Add '29.325' to each side of the equation.
-29.325 + 29.325 + 9.53k = 36.432 + 29.325

Combine like terms: -29.325 + 29.325 = 0.000
0.000 + 9.53k = 36.432 + 29.325
9.53k = 36.432 + 29.325

Combine like terms: 36.432 + 29.325 = 65.757
9.53k = 65.757

Divide each side by '9.53'.
k = 6.9

Simplifying
k = 6.9

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