5+19r-1=4r+21-2r

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Solution for 5+19r-1=4r+21-2r equation:


Simplifying
5 + 19r + -1 = 4r + 21 + -2r

Reorder the terms:
5 + -1 + 19r = 4r + 21 + -2r

Combine like terms: 5 + -1 = 4
4 + 19r = 4r + 21 + -2r

Reorder the terms:
4 + 19r = 21 + 4r + -2r

Combine like terms: 4r + -2r = 2r
4 + 19r = 21 + 2r

Solving
4 + 19r = 21 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
4 + 19r + -2r = 21 + 2r + -2r

Combine like terms: 19r + -2r = 17r
4 + 17r = 21 + 2r + -2r

Combine like terms: 2r + -2r = 0
4 + 17r = 21 + 0
4 + 17r = 21

Add '-4' to each side of the equation.
4 + -4 + 17r = 21 + -4

Combine like terms: 4 + -4 = 0
0 + 17r = 21 + -4
17r = 21 + -4

Combine like terms: 21 + -4 = 17
17r = 17

Divide each side by '17'.
r = 1

Simplifying
r = 1

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