-29.5+6r=-7.5(6.5r+5.5)

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Solution for -29.5+6r=-7.5(6.5r+5.5) equation: 


Simplifying
-29.5 + 6r = -7.5(6.5r + 5.5)

Reorder the terms:
-29.5 + 6r = -7.5(5.5 + 6.5r)
-29.5 + 6r = (5.5 * -7.5 + 6.5r * -7.5)
-29.5 + 6r = (-41.25 + -48.75r)

Solving
-29.5 + 6r = -41.25 + -48.75r

Solving for variable 'r'.

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

Add '48.75r' to each side of the equation.
-29.5 + 6r + 48.75r = -41.25 + -48.75r + 48.75r

Combine like terms: 6r + 48.75r = 54.75r
-29.5 + 54.75r = -41.25 + -48.75r + 48.75r

Combine like terms: -48.75r + 48.75r = 0.00
-29.5 + 54.75r = -41.25 + 0.00
-29.5 + 54.75r = -41.25

Add '29.5' to each side of the equation.
-29.5 + 29.5 + 54.75r = -41.25 + 29.5

Combine like terms: -29.5 + 29.5 = 0.0
0.0 + 54.75r = -41.25 + 29.5
54.75r = -41.25 + 29.5

Combine like terms: -41.25 + 29.5 = -11.75
54.75r = -11.75

Divide each side by '54.75'.
r = -0.2146118721

Simplifying
r = -0.2146118721

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