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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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