3(k-3.6)=-0.1(k-4.9)

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Solution for 3(k-3.6)=-0.1(k-4.9) equation: 


Simplifying
3(k + -3.6) = -0.1(k + -4.9)

Reorder the terms:
3(-3.6 + k) = -0.1(k + -4.9)
(-3.6 * 3 + k * 3) = -0.1(k + -4.9)
(-10.8 + 3k) = -0.1(k + -4.9)

Reorder the terms:
-10.8 + 3k = -0.1(-4.9 + k)
-10.8 + 3k = (-4.9 * -0.1 + k * -0.1)
-10.8 + 3k = (0.49 + -0.1k)

Solving
-10.8 + 3k = 0.49 + -0.1k

Solving for variable 'k'.

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

Add '0.1k' to each side of the equation.
-10.8 + 3k + 0.1k = 0.49 + -0.1k + 0.1k

Combine like terms: 3k + 0.1k = 3.1k
-10.8 + 3.1k = 0.49 + -0.1k + 0.1k

Combine like terms: -0.1k + 0.1k = 0.0
-10.8 + 3.1k = 0.49 + 0.0
-10.8 + 3.1k = 0.49

Add '10.8' to each side of the equation.
-10.8 + 10.8 + 3.1k = 0.49 + 10.8

Combine like terms: -10.8 + 10.8 = 0.0
0.0 + 3.1k = 0.49 + 10.8
3.1k = 0.49 + 10.8

Combine like terms: 0.49 + 10.8 = 11.29
3.1k = 11.29

Divide each side by '3.1'.
k = 3.641935484

Simplifying
k = 3.641935484

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