0.4(2-2r)=0.1(3-r)

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Solution for 0.4(2-2r)=0.1(3-r) equation:


Simplifying
0.4(2 + -2r) = 0.1(3 + -1r)
(2 * 0.4 + -2r * 0.4) = 0.1(3 + -1r)
(0.8 + -0.8r) = 0.1(3 + -1r)
0.8 + -0.8r = (3 * 0.1 + -1r * 0.1)
0.8 + -0.8r = (0.3 + -0.1r)

Solving
0.8 + -0.8r = 0.3 + -0.1r

Solving for variable 'r'.

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

Add '0.1r' to each side of the equation.
0.8 + -0.8r + 0.1r = 0.3 + -0.1r + 0.1r

Combine like terms: -0.8r + 0.1r = -0.7r
0.8 + -0.7r = 0.3 + -0.1r + 0.1r

Combine like terms: -0.1r + 0.1r = 0.0
0.8 + -0.7r = 0.3 + 0.0
0.8 + -0.7r = 0.3

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.7r = 0.3 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.7r = 0.3 + -0.8
-0.7r = 0.3 + -0.8

Combine like terms: 0.3 + -0.8 = -0.5
-0.7r = -0.5

Divide each side by '-0.7'.
r = 0.7142857143

Simplifying
r = 0.7142857143

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