2.4[k-1.3]=15.12

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Solution for 2.4[k-1.3]=15.12 equation: 


Simplifying
2.4[k + -1.3] = 15.12

Reorder the terms:
2.4[-1.3 + k] = 15.12
[-1.3 * 2.4 + k * 2.4] = 15.12
[-3.12 + 2.4k] = 15.12

Solving
-3.12 + 2.4k = 15.12

Solving for variable 'k'.

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

Add '3.12' to each side of the equation.
-3.12 + 3.12 + 2.4k = 15.12 + 3.12

Combine like terms: -3.12 + 3.12 = 0.00
0.00 + 2.4k = 15.12 + 3.12
2.4k = 15.12 + 3.12

Combine like terms: 15.12 + 3.12 = 18.24
2.4k = 18.24

Divide each side by '2.4'.
k = 7.6

Simplifying
k = 7.6

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