2(2r-20)=3r+10

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Solution for 2(2r-20)=3r+10 equation: 


Simplifying
2(2r + -20) = 3r + 10

Reorder the terms:
2(-20 + 2r) = 3r + 10
(-20 * 2 + 2r * 2) = 3r + 10
(-40 + 4r) = 3r + 10

Reorder the terms:
-40 + 4r = 10 + 3r

Solving
-40 + 4r = 10 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-40 + 4r + -3r = 10 + 3r + -3r

Combine like terms: 4r + -3r = 1r
-40 + 1r = 10 + 3r + -3r

Combine like terms: 3r + -3r = 0
-40 + 1r = 10 + 0
-40 + 1r = 10

Add '40' to each side of the equation.
-40 + 40 + 1r = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 1r = 10 + 40
1r = 10 + 40

Combine like terms: 10 + 40 = 50
1r = 50

Divide each side by '1'.
r = 50

Simplifying
r = 50

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