0.5r+1.5r+2=.25r+6

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Solution for 0.5r+1.5r+2=.25r+6 equation: 


Simplifying
0.5r + 1.5r + 2 = 0.25r + 6

Reorder the terms:
2 + 0.5r + 1.5r = 0.25r + 6

Combine like terms: 0.5r + 1.5r = 2r
2 + 2r = 0.25r + 6

Reorder the terms:
2 + 2r = 6 + 0.25r

Solving
2 + 2r = 6 + 0.25r

Solving for variable 'r'.

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

Add '-0.25r' to each side of the equation.
2 + 2r + -0.25r = 6 + 0.25r + -0.25r

Combine like terms: 2r + -0.25r = 1.75r
2 + 1.75r = 6 + 0.25r + -0.25r

Combine like terms: 0.25r + -0.25r = 0.00
2 + 1.75r = 6 + 0.00
2 + 1.75r = 6

Add '-2' to each side of the equation.
2 + -2 + 1.75r = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1.75r = 6 + -2
1.75r = 6 + -2

Combine like terms: 6 + -2 = 4
1.75r = 4

Divide each side by '1.75'.
r = 2.285714286

Simplifying
r = 2.285714286

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