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Simplifying 19.5 = -8 + 3(r + 5.5) Reorder the terms: 19.5 = -8 + 3(5.5 + r) 19.5 = -8 + (5.5 * 3 + r * 3) 19.5 = -8 + (16.5 + 3r) Combine like terms: -8 + 16.5 = 8.5 19.5 = 8.5 + 3r Solving 19.5 = 8.5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 19.5 + -3r = 8.5 + 3r + -3r Combine like terms: 3r + -3r = 0 19.5 + -3r = 8.5 + 0 19.5 + -3r = 8.5 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -3r = 8.5 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -3r = 8.5 + -19.5 -3r = 8.5 + -19.5 Combine like terms: 8.5 + -19.5 = -11 -3r = -11 Divide each side by '-3'. r = 3.666666667 Simplifying r = 3.666666667
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