0.16(5r+1)=0.83r-3

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Solution for 0.16(5r+1)=0.83r-3 equation: 


Simplifying
0.16(5r + 1) = 0.83r + -3

Reorder the terms:
0.16(1 + 5r) = 0.83r + -3
(1 * 0.16 + 5r * 0.16) = 0.83r + -3
(0.16 + 0.8r) = 0.83r + -3

Reorder the terms:
0.16 + 0.8r = -3 + 0.83r

Solving
0.16 + 0.8r = -3 + 0.83r

Solving for variable 'r'.

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

Add '-0.83r' to each side of the equation.
0.16 + 0.8r + -0.83r = -3 + 0.83r + -0.83r

Combine like terms: 0.8r + -0.83r = -0.03r
0.16 + -0.03r = -3 + 0.83r + -0.83r

Combine like terms: 0.83r + -0.83r = 0.00
0.16 + -0.03r = -3 + 0.00
0.16 + -0.03r = -3

Add '-0.16' to each side of the equation.
0.16 + -0.16 + -0.03r = -3 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -0.03r = -3 + -0.16
-0.03r = -3 + -0.16

Combine like terms: -3 + -0.16 = -3.16
-0.03r = -3.16

Divide each side by '-0.03'.
r = 105.3333333

Simplifying
r = 105.3333333

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