5(r-3)+2r=41

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Solution for 5(r-3)+2r=41 equation:


Simplifying
5(r + -3) + 2r = 41

Reorder the terms:
5(-3 + r) + 2r = 41
(-3 * 5 + r * 5) + 2r = 41
(-15 + 5r) + 2r = 41

Combine like terms: 5r + 2r = 7r
-15 + 7r = 41

Solving
-15 + 7r = 41

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 + 7r = 41 + 15

Combine like terms: -15 + 15 = 0
0 + 7r = 41 + 15
7r = 41 + 15

Combine like terms: 41 + 15 = 56
7r = 56

Divide each side by '7'.
r = 8

Simplifying
r = 8

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