1.3(8-k)+3.7k=-5.2

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Solution for 1.3(8-k)+3.7k=-5.2 equation: 


Simplifying
1.3(8 + -1k) + 3.7k = -5.2
(8 * 1.3 + -1k * 1.3) + 3.7k = -5.2
(10.4 + -1.3k) + 3.7k = -5.2

Combine like terms: -1.3k + 3.7k = 2.4k
10.4 + 2.4k = -5.2

Solving
10.4 + 2.4k = -5.2

Solving for variable 'k'.

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

Add '-10.4' to each side of the equation.
10.4 + -10.4 + 2.4k = -5.2 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 2.4k = -5.2 + -10.4
2.4k = -5.2 + -10.4

Combine like terms: -5.2 + -10.4 = -15.6
2.4k = -15.6

Divide each side by '2.4'.
k = -6.5

Simplifying
k = -6.5

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