3(k-3.8)=-0.5(k-9.6)

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Solution for 3(k-3.8)=-0.5(k-9.6) equation: 


Simplifying
3(k + -3.8) = -0.5(k + -9.6)

Reorder the terms:
3(-3.8 + k) = -0.5(k + -9.6)
(-3.8 * 3 + k * 3) = -0.5(k + -9.6)
(-11.4 + 3k) = -0.5(k + -9.6)

Reorder the terms:
-11.4 + 3k = -0.5(-9.6 + k)
-11.4 + 3k = (-9.6 * -0.5 + k * -0.5)
-11.4 + 3k = (4.8 + -0.5k)

Solving
-11.4 + 3k = 4.8 + -0.5k

Solving for variable 'k'.

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

Add '0.5k' to each side of the equation.
-11.4 + 3k + 0.5k = 4.8 + -0.5k + 0.5k

Combine like terms: 3k + 0.5k = 3.5k
-11.4 + 3.5k = 4.8 + -0.5k + 0.5k

Combine like terms: -0.5k + 0.5k = 0.0
-11.4 + 3.5k = 4.8 + 0.0
-11.4 + 3.5k = 4.8

Add '11.4' to each side of the equation.
-11.4 + 11.4 + 3.5k = 4.8 + 11.4

Combine like terms: -11.4 + 11.4 = 0.0
0.0 + 3.5k = 4.8 + 11.4
3.5k = 4.8 + 11.4

Combine like terms: 4.8 + 11.4 = 16.2
3.5k = 16.2

Divide each side by '3.5'.
k = 4.628571429

Simplifying
k = 4.628571429

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