0.04(2r+1)-0.03(2r-5)=.29

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Solution for 0.04(2r+1)-0.03(2r-5)=.29 equation: 


Simplifying
0.04(2r + 1) + -0.03(2r + -5) = 0.29

Reorder the terms:
0.04(1 + 2r) + -0.03(2r + -5) = 0.29
(1 * 0.04 + 2r * 0.04) + -0.03(2r + -5) = 0.29
(0.04 + 0.08r) + -0.03(2r + -5) = 0.29

Reorder the terms:
0.04 + 0.08r + -0.03(-5 + 2r) = 0.29
0.04 + 0.08r + (-5 * -0.03 + 2r * -0.03) = 0.29
0.04 + 0.08r + (0.15 + -0.06r) = 0.29

Reorder the terms:
0.04 + 0.15 + 0.08r + -0.06r = 0.29

Combine like terms: 0.04 + 0.15 = 0.19
0.19 + 0.08r + -0.06r = 0.29

Combine like terms: 0.08r + -0.06r = 0.02r
0.19 + 0.02r = 0.29

Solving
0.19 + 0.02r = 0.29

Solving for variable 'r'.

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

Add '-0.19' to each side of the equation.
0.19 + -0.19 + 0.02r = 0.29 + -0.19

Combine like terms: 0.19 + -0.19 = 0.00
0.00 + 0.02r = 0.29 + -0.19
0.02r = 0.29 + -0.19

Combine like terms: 0.29 + -0.19 = 0.1
0.02r = 0.1

Divide each side by '0.02'.
r = 5

Simplifying
r = 5

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