0.04(2r+1)-10.03(2r-5)=0.29

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Solution for 0.04(2r+1)-10.03(2r-5)=0.29 equation: 


Simplifying
0.04(2r + 1) + -10.03(2r + -5) = 0.29

Reorder the terms:
0.04(1 + 2r) + -10.03(2r + -5) = 0.29
(1 * 0.04 + 2r * 0.04) + -10.03(2r + -5) = 0.29
(0.04 + 0.08r) + -10.03(2r + -5) = 0.29

Reorder the terms:
0.04 + 0.08r + -10.03(-5 + 2r) = 0.29
0.04 + 0.08r + (-5 * -10.03 + 2r * -10.03) = 0.29
0.04 + 0.08r + (50.15 + -20.06r) = 0.29

Reorder the terms:
0.04 + 50.15 + 0.08r + -20.06r = 0.29

Combine like terms: 0.04 + 50.15 = 50.19
50.19 + 0.08r + -20.06r = 0.29

Combine like terms: 0.08r + -20.06r = -19.98r
50.19 + -19.98r = 0.29

Solving
50.19 + -19.98r = 0.29

Solving for variable 'r'.

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

Add '-50.19' to each side of the equation.
50.19 + -50.19 + -19.98r = 0.29 + -50.19

Combine like terms: 50.19 + -50.19 = 0.00
0.00 + -19.98r = 0.29 + -50.19
-19.98r = 0.29 + -50.19

Combine like terms: 0.29 + -50.19 = -49.9
-19.98r = -49.9

Divide each side by '-19.98'.
r = 2.497497497

Simplifying
r = 2.497497497

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