2r+3(r-5)=20

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Solution for 2r+3(r-5)=20 equation:


Simplifying
2r + 3(r + -5) = 20

Reorder the terms:
2r + 3(-5 + r) = 20
2r + (-5 * 3 + r * 3) = 20
2r + (-15 + 3r) = 20

Reorder the terms:
-15 + 2r + 3r = 20

Combine like terms: 2r + 3r = 5r
-15 + 5r = 20

Solving
-15 + 5r = 20

Solving for variable 'r'.

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

Add '15' to each side of the equation.
-15 + 15 + 5r = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 5r = 20 + 15
5r = 20 + 15

Combine like terms: 20 + 15 = 35
5r = 35

Divide each side by '5'.
r = 7

Simplifying
r = 7

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