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Simplifying -1(0.3 + 1.2r) = -24.3 + 19.8r (0.3 * -1 + 1.2r * -1) = -24.3 + 19.8r (-0.3 + -1.2r) = -24.3 + 19.8r Solving -0.3 + -1.2r = -24.3 + 19.8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19.8r' to each side of the equation. -0.3 + -1.2r + -19.8r = -24.3 + 19.8r + -19.8r Combine like terms: -1.2r + -19.8r = -21r -0.3 + -21r = -24.3 + 19.8r + -19.8r Combine like terms: 19.8r + -19.8r = 0.0 -0.3 + -21r = -24.3 + 0.0 -0.3 + -21r = -24.3 Add '0.3' to each side of the equation. -0.3 + 0.3 + -21r = -24.3 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -21r = -24.3 + 0.3 -21r = -24.3 + 0.3 Combine like terms: -24.3 + 0.3 = -24 -21r = -24 Divide each side by '-21'. r = 1.142857143 Simplifying r = 1.142857143
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