5(1.2k+6)=7.2k+34.4

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Solution for 5(1.2k+6)=7.2k+34.4 equation: 


Simplifying
5(1.2k + 6) = 7.2k + 34.4

Reorder the terms:
5(6 + 1.2k) = 7.2k + 34.4
(6 * 5 + 1.2k * 5) = 7.2k + 34.4
(30 + 6k) = 7.2k + 34.4

Reorder the terms:
30 + 6k = 34.4 + 7.2k

Solving
30 + 6k = 34.4 + 7.2k

Solving for variable 'k'.

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

Add '-7.2k' to each side of the equation.
30 + 6k + -7.2k = 34.4 + 7.2k + -7.2k

Combine like terms: 6k + -7.2k = -1.2k
30 + -1.2k = 34.4 + 7.2k + -7.2k

Combine like terms: 7.2k + -7.2k = 0.0
30 + -1.2k = 34.4 + 0.0
30 + -1.2k = 34.4

Add '-30' to each side of the equation.
30 + -30 + -1.2k = 34.4 + -30

Combine like terms: 30 + -30 = 0
0 + -1.2k = 34.4 + -30
-1.2k = 34.4 + -30

Combine like terms: 34.4 + -30 = 4.4
-1.2k = 4.4

Divide each side by '-1.2'.
k = -3.666666667

Simplifying
k = -3.666666667

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