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Simplifying -0.1(-1.9 + 7.3r) = 14.4865 + 2.8r (-1.9 * -0.1 + 7.3r * -0.1) = 14.4865 + 2.8r (0.19 + -0.73r) = 14.4865 + 2.8r Solving 0.19 + -0.73r = 14.4865 + 2.8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.8r' to each side of the equation. 0.19 + -0.73r + -2.8r = 14.4865 + 2.8r + -2.8r Combine like terms: -0.73r + -2.8r = -3.53r 0.19 + -3.53r = 14.4865 + 2.8r + -2.8r Combine like terms: 2.8r + -2.8r = 0.0 0.19 + -3.53r = 14.4865 + 0.0 0.19 + -3.53r = 14.4865 Add '-0.19' to each side of the equation. 0.19 + -0.19 + -3.53r = 14.4865 + -0.19 Combine like terms: 0.19 + -0.19 = 0.00 0.00 + -3.53r = 14.4865 + -0.19 -3.53r = 14.4865 + -0.19 Combine like terms: 14.4865 + -0.19 = 14.2965 -3.53r = 14.2965 Divide each side by '-3.53'. r = -4.05 Simplifying r = -4.05
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