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Simplifying -19.5 = 2(5.5r + 3) Reorder the terms: -19.5 = 2(3 + 5.5r) -19.5 = (3 * 2 + 5.5r * 2) -19.5 = (6 + 11r) Solving -19.5 = 6 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -19.5 + -11r = 6 + 11r + -11r Combine like terms: 11r + -11r = 0 -19.5 + -11r = 6 + 0 -19.5 + -11r = 6 Add '19.5' to each side of the equation. -19.5 + 19.5 + -11r = 6 + 19.5 Combine like terms: -19.5 + 19.5 = 0.0 0.0 + -11r = 6 + 19.5 -11r = 6 + 19.5 Combine like terms: 6 + 19.5 = 25.5 -11r = 25.5 Divide each side by '-11'. r = -2.318181818 Simplifying r = -2.318181818
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