0.3(2r-3)=.2r+.9

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Solution for 0.3(2r-3)=.2r+.9 equation: 


Simplifying
0.3(2r + -3) = 0.2r + 0.9

Reorder the terms:
0.3(-3 + 2r) = 0.2r + 0.9
(-3 * 0.3 + 2r * 0.3) = 0.2r + 0.9
(-0.9 + 0.6r) = 0.2r + 0.9

Reorder the terms:
-0.9 + 0.6r = 0.9 + 0.2r

Solving
-0.9 + 0.6r = 0.9 + 0.2r

Solving for variable 'r'.

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

Add '-0.2r' to each side of the equation.
-0.9 + 0.6r + -0.2r = 0.9 + 0.2r + -0.2r

Combine like terms: 0.6r + -0.2r = 0.4r
-0.9 + 0.4r = 0.9 + 0.2r + -0.2r

Combine like terms: 0.2r + -0.2r = 0.0
-0.9 + 0.4r = 0.9 + 0.0
-0.9 + 0.4r = 0.9

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.4r = 0.9 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.4r = 0.9 + 0.9
0.4r = 0.9 + 0.9

Combine like terms: 0.9 + 0.9 = 1.8
0.4r = 1.8

Divide each side by '0.4'.
r = 4.5

Simplifying
r = 4.5

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