5(0.5k+6)=0.14k+34.4

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Solution for 5(0.5k+6)=0.14k+34.4 equation: 


Simplifying
5(0.5k + 6) = 0.14k + 34.4

Reorder the terms:
5(6 + 0.5k) = 0.14k + 34.4
(6 * 5 + 0.5k * 5) = 0.14k + 34.4
(30 + 2.5k) = 0.14k + 34.4

Reorder the terms:
30 + 2.5k = 34.4 + 0.14k

Solving
30 + 2.5k = 34.4 + 0.14k

Solving for variable 'k'.

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

Add '-0.14k' to each side of the equation.
30 + 2.5k + -0.14k = 34.4 + 0.14k + -0.14k

Combine like terms: 2.5k + -0.14k = 2.36k
30 + 2.36k = 34.4 + 0.14k + -0.14k

Combine like terms: 0.14k + -0.14k = 0.00
30 + 2.36k = 34.4 + 0.00
30 + 2.36k = 34.4

Add '-30' to each side of the equation.
30 + -30 + 2.36k = 34.4 + -30

Combine like terms: 30 + -30 = 0
0 + 2.36k = 34.4 + -30
2.36k = 34.4 + -30

Combine like terms: 34.4 + -30 = 4.4
2.36k = 4.4

Divide each side by '2.36'.
k = 1.86440678

Simplifying
k = 1.86440678

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