r+(2r)+(2r+5)=55

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Solution for r+(2r)+(2r+5)=55 equation:


Simplifying
r + (2r) + (2r + 5) = 55

Reorder the terms:
r + (2r) + (5 + 2r) = 55

Remove parenthesis around (5 + 2r)
r + (2r) + 5 + 2r = 55

Reorder the terms:
5 + r + (2r) + 2r = 55

Combine like terms: r + (2r) = 3r
5 + 3r + 2r = 55

Combine like terms: 3r + 2r = 5r
5 + 5r = 55

Solving
5 + 5r = 55

Solving for variable 'r'.

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

Add '-5' to each side of the equation.
5 + -5 + 5r = 55 + -5

Combine like terms: 5 + -5 = 0
0 + 5r = 55 + -5
5r = 55 + -5

Combine like terms: 55 + -5 = 50
5r = 50

Divide each side by '5'.
r = 10

Simplifying
r = 10

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