0.004(2r+1)-0.003(2r-5)=0.29

Solution for 0.004(2r+1)-0.003(2r-5)=0.29 equation:

Simplifying
0.004(2r + 1) + -0.003(2r + -5) = 0.29

Reorder the terms:
0.004(1 + 2r) + -0.003(2r + -5) = 0.29
(1 * 0.004 + 2r * 0.004) + -0.003(2r + -5) = 0.29
(0.004 + 0.008r) + -0.003(2r + -5) = 0.29

Reorder the terms:
0.004 + 0.008r + -0.003(-5 + 2r) = 0.29
0.004 + 0.008r + (-5 * -0.003 + 2r * -0.003) = 0.29
0.004 + 0.008r + (0.015 + -0.006r) = 0.29

Reorder the terms:
0.004 + 0.015 + 0.008r + -0.006r = 0.29

Combine like terms: 0.004 + 0.015 = 0.019
0.019 + 0.008r + -0.006r = 0.29

Combine like terms: 0.008r + -0.006r = 0.002r
0.019 + 0.002r = 0.29

Solving
0.019 + 0.002r = 0.29

Solving for variable 'r'.

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

Add '-0.019' to each side of the equation.
0.019 + -0.019 + 0.002r = 0.29 + -0.019

Combine like terms: 0.019 + -0.019 = 0.000
0.000 + 0.002r = 0.29 + -0.019
0.002r = 0.29 + -0.019

Combine like terms: 0.29 + -0.019 = 0.271
0.002r = 0.271

Divide each side by '0.002'.
r = 135.5

Simplifying
r = 135.5