2(0.3r+1)=12-0.1r

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Solution for 2(0.3r+1)=12-0.1r equation: 


Simplifying
2(0.3r + 1) = 12 + -0.1r

Reorder the terms:
2(1 + 0.3r) = 12 + -0.1r
(1 * 2 + 0.3r * 2) = 12 + -0.1r
(2 + 0.6r) = 12 + -0.1r

Solving
2 + 0.6r = 12 + -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.
2 + 0.6r + 0.1r = 12 + -0.1r + 0.1r

Combine like terms: 0.6r + 0.1r = 0.7r
2 + 0.7r = 12 + -0.1r + 0.1r

Combine like terms: -0.1r + 0.1r = 0.0
2 + 0.7r = 12 + 0.0
2 + 0.7r = 12

Add '-2' to each side of the equation.
2 + -2 + 0.7r = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 0.7r = 12 + -2
0.7r = 12 + -2

Combine like terms: 12 + -2 = 10
0.7r = 10

Divide each side by '0.7'.
r = 14.28571429

Simplifying
r = 14.28571429

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