r=0.707(6-r)

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Solution for r=0.707(6-r) equation: 


Simplifying
r = 0.707(6 + -1r)
r = (6 * 0.707 + -1r * 0.707)
r = (4.242 + -0.707r)

Solving
r = 4.242 + -0.707r

Solving for variable 'r'.

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

Add '0.707r' to each side of the equation.
r + 0.707r = 4.242 + -0.707r + 0.707r

Combine like terms: r + 0.707r = 1.707r
1.707r = 4.242 + -0.707r + 0.707r

Combine like terms: -0.707r + 0.707r = 0.000
1.707r = 4.242 + 0.000
1.707r = 4.242

Divide each side by '1.707'.
r = 2.485061511

Simplifying
r = 2.485061511

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