4r+2=10r-20

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Solution for 4r+2=10r-20 equation: 


Simplifying
4r + 2 = 10r + -20

Reorder the terms:
2 + 4r = 10r + -20

Reorder the terms:
2 + 4r = -20 + 10r

Solving
2 + 4r = -20 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
2 + 4r + -10r = -20 + 10r + -10r

Combine like terms: 4r + -10r = -6r
2 + -6r = -20 + 10r + -10r

Combine like terms: 10r + -10r = 0
2 + -6r = -20 + 0
2 + -6r = -20

Add '-2' to each side of the equation.
2 + -2 + -6r = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -6r = -20 + -2
-6r = -20 + -2

Combine like terms: -20 + -2 = -22
-6r = -22

Divide each side by '-6'.
r = 3.666666667

Simplifying
r = 3.666666667

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