2(.03r+1)=23-.01r

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Solution for 2(.03r+1)=23-.01r equation: 


Simplifying
2(0.03r + 1) = 23 + -0.01r

Reorder the terms:
2(1 + 0.03r) = 23 + -0.01r
(1 * 2 + 0.03r * 2) = 23 + -0.01r
(2 + 0.06r) = 23 + -0.01r

Solving
2 + 0.06r = 23 + -0.01r

Solving for variable 'r'.

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

Add '0.01r' to each side of the equation.
2 + 0.06r + 0.01r = 23 + -0.01r + 0.01r

Combine like terms: 0.06r + 0.01r = 0.07r
2 + 0.07r = 23 + -0.01r + 0.01r

Combine like terms: -0.01r + 0.01r = 0.00
2 + 0.07r = 23 + 0.00
2 + 0.07r = 23

Add '-2' to each side of the equation.
2 + -2 + 0.07r = 23 + -2

Combine like terms: 2 + -2 = 0
0 + 0.07r = 23 + -2
0.07r = 23 + -2

Combine like terms: 23 + -2 = 21
0.07r = 21

Divide each side by '0.07'.
r = 300

Simplifying
r = 300

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