5(k-3.8)=-0.6(k-9.7)

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Solution for 5(k-3.8)=-0.6(k-9.7) equation: 


Simplifying
5(k + -3.8) = -0.6(k + -9.7)

Reorder the terms:
5(-3.8 + k) = -0.6(k + -9.7)
(-3.8 * 5 + k * 5) = -0.6(k + -9.7)
(-19 + 5k) = -0.6(k + -9.7)

Reorder the terms:
-19 + 5k = -0.6(-9.7 + k)
-19 + 5k = (-9.7 * -0.6 + k * -0.6)
-19 + 5k = (5.82 + -0.6k)

Solving
-19 + 5k = 5.82 + -0.6k

Solving for variable 'k'.

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

Add '0.6k' to each side of the equation.
-19 + 5k + 0.6k = 5.82 + -0.6k + 0.6k

Combine like terms: 5k + 0.6k = 5.6k
-19 + 5.6k = 5.82 + -0.6k + 0.6k

Combine like terms: -0.6k + 0.6k = 0.0
-19 + 5.6k = 5.82 + 0.0
-19 + 5.6k = 5.82

Add '19' to each side of the equation.
-19 + 19 + 5.6k = 5.82 + 19

Combine like terms: -19 + 19 = 0
0 + 5.6k = 5.82 + 19
5.6k = 5.82 + 19

Combine like terms: 5.82 + 19 = 24.82
5.6k = 24.82

Divide each side by '5.6'.
k = 4.432142857

Simplifying
k = 4.432142857

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