2(3r+1)+7(-52r)=23

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Solution for 2(3r+1)+7(-52r)=23 equation: 


Simplifying
2(3r + 1) + 7(-52r) = 23

Reorder the terms:
2(1 + 3r) + 7(-52r) = 23
(1 * 2 + 3r * 2) + 7(-52r) = 23
(2 + 6r) + 7(-52r) = 23

Remove parenthesis around (-52r)
2 + 6r + 7 * -52r = 23

Multiply 7 * -52
2 + 6r + -364r = 23

Combine like terms: 6r + -364r = -358r
2 + -358r = 23

Solving
2 + -358r = 23

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + -2 + -358r = 23 + -2

Combine like terms: 2 + -2 = 0
0 + -358r = 23 + -2
-358r = 23 + -2

Combine like terms: 23 + -2 = 21
-358r = 21

Divide each side by '-358'.
r = -0.05865921788

Simplifying
r = -0.05865921788

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