-21.5=6+6.5(r+3.5)

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Solution for -21.5=6+6.5(r+3.5) equation: 


Simplifying
-21.5 = 6 + 6.5(r + 3.5)

Reorder the terms:
-21.5 = 6 + 6.5(3.5 + r)
-21.5 = 6 + (3.5 * 6.5 + r * 6.5)
-21.5 = 6 + (22.75 + 6.5r)

Combine like terms: 6 + 22.75 = 28.75
-21.5 = 28.75 + 6.5r

Solving
-21.5 = 28.75 + 6.5r

Solving for variable 'r'.

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

Add '-6.5r' to each side of the equation.
-21.5 + -6.5r = 28.75 + 6.5r + -6.5r

Combine like terms: 6.5r + -6.5r = 0.0
-21.5 + -6.5r = 28.75 + 0.0
-21.5 + -6.5r = 28.75

Add '21.5' to each side of the equation.
-21.5 + 21.5 + -6.5r = 28.75 + 21.5

Combine like terms: -21.5 + 21.5 = 0.0
0.0 + -6.5r = 28.75 + 21.5
-6.5r = 28.75 + 21.5

Combine like terms: 28.75 + 21.5 = 50.25
-6.5r = 50.25

Divide each side by '-6.5'.
r = -7.730769231

Simplifying
r = -7.730769231

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