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Simplifying -3.8(7r + 5) + 8.9(4r + 5) = 0 Reorder the terms: -3.8(5 + 7r) + 8.9(4r + 5) = 0 (5 * -3.8 + 7r * -3.8) + 8.9(4r + 5) = 0 (-19 + -26.6r) + 8.9(4r + 5) = 0 Reorder the terms: -19 + -26.6r + 8.9(5 + 4r) = 0 -19 + -26.6r + (5 * 8.9 + 4r * 8.9) = 0 -19 + -26.6r + (44.5 + 35.6r) = 0 Reorder the terms: -19 + 44.5 + -26.6r + 35.6r = 0 Combine like terms: -19 + 44.5 = 25.5 25.5 + -26.6r + 35.6r = 0 Combine like terms: -26.6r + 35.6r = 9r 25.5 + 9r = 0 Solving 25.5 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25.5' to each side of the equation. 25.5 + -25.5 + 9r = 0 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + 9r = 0 + -25.5 9r = 0 + -25.5 Combine like terms: 0 + -25.5 = -25.5 9r = -25.5 Divide each side by '9'. r = -2.833333333 Simplifying r = -2.833333333
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