120=r+(20+r)+(20+r)

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Solution for 120=r+(20+r)+(20+r) equation:


Simplifying
120 = r + (20 + r) + (20 + r)

Remove parenthesis around (20 + r)
120 = r + 20 + r + (20 + r)

Remove parenthesis around (20 + r)
120 = r + 20 + r + 20 + r

Reorder the terms:
120 = 20 + 20 + r + r + r

Combine like terms: 20 + 20 = 40
120 = 40 + r + r + r

Combine like terms: r + r = 2r
120 = 40 + 2r + r

Combine like terms: 2r + r = 3r
120 = 40 + 3r

Solving
120 = 40 + 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.
120 + -3r = 40 + 3r + -3r

Combine like terms: 3r + -3r = 0
120 + -3r = 40 + 0
120 + -3r = 40

Add '-120' to each side of the equation.
120 + -120 + -3r = 40 + -120

Combine like terms: 120 + -120 = 0
0 + -3r = 40 + -120
-3r = 40 + -120

Combine like terms: 40 + -120 = -80
-3r = -80

Divide each side by '-3'.
r = 26.66666667

Simplifying
r = 26.66666667

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