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Simplifying 4.5(7r + 6) = 24.5 + 5.5r Reorder the terms: 4.5(6 + 7r) = 24.5 + 5.5r (6 * 4.5 + 7r * 4.5) = 24.5 + 5.5r (27 + 31.5r) = 24.5 + 5.5r Solving 27 + 31.5r = 24.5 + 5.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.5r' to each side of the equation. 27 + 31.5r + -5.5r = 24.5 + 5.5r + -5.5r Combine like terms: 31.5r + -5.5r = 26r 27 + 26r = 24.5 + 5.5r + -5.5r Combine like terms: 5.5r + -5.5r = 0.0 27 + 26r = 24.5 + 0.0 27 + 26r = 24.5 Add '-27' to each side of the equation. 27 + -27 + 26r = 24.5 + -27 Combine like terms: 27 + -27 = 0 0 + 26r = 24.5 + -27 26r = 24.5 + -27 Combine like terms: 24.5 + -27 = -2.5 26r = -2.5 Divide each side by '26'. r = -0.09615384615 Simplifying r = -0.09615384615
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