6+19r-4=7r+34-4r

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Solution for 6+19r-4=7r+34-4r equation: 


Simplifying
6 + 19r + -4 = 7r + 34 + -4r

Reorder the terms:
6 + -4 + 19r = 7r + 34 + -4r

Combine like terms: 6 + -4 = 2
2 + 19r = 7r + 34 + -4r

Reorder the terms:
2 + 19r = 34 + 7r + -4r

Combine like terms: 7r + -4r = 3r
2 + 19r = 34 + 3r

Solving
2 + 19r = 34 + 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.
2 + 19r + -3r = 34 + 3r + -3r

Combine like terms: 19r + -3r = 16r
2 + 16r = 34 + 3r + -3r

Combine like terms: 3r + -3r = 0
2 + 16r = 34 + 0
2 + 16r = 34

Add '-2' to each side of the equation.
2 + -2 + 16r = 34 + -2

Combine like terms: 2 + -2 = 0
0 + 16r = 34 + -2
16r = 34 + -2

Combine like terms: 34 + -2 = 32
16r = 32

Divide each side by '16'.
r = 2

Simplifying
r = 2

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