20+r=7r-11r-10

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Solution for 20+r=7r-11r-10 equation:


Simplifying
20 + r = 7r + -11r + -10

Reorder the terms:
20 + r = -10 + 7r + -11r

Combine like terms: 7r + -11r = -4r
20 + r = -10 + -4r

Solving
20 + r = -10 + -4r

Solving for variable 'r'.

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

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

Combine like terms: r + 4r = 5r
20 + 5r = -10 + -4r + 4r

Combine like terms: -4r + 4r = 0
20 + 5r = -10 + 0
20 + 5r = -10

Add '-20' to each side of the equation.
20 + -20 + 5r = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 5r = -10 + -20
5r = -10 + -20

Combine like terms: -10 + -20 = -30
5r = -30

Divide each side by '5'.
r = -6

Simplifying
r = -6

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