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Simplifying -5x + 6.7 + -3.7r + -1.8r + 3 = 0 Reorder the terms: 6.7 + 3 + -3.7r + -1.8r + -5x = 0 Combine like terms: 6.7 + 3 = 9.7 9.7 + -3.7r + -1.8r + -5x = 0 Combine like terms: -3.7r + -1.8r = -5.5r 9.7 + -5.5r + -5x = 0 Solving 9.7 + -5.5r + -5x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9.7' to each side of the equation. 9.7 + -5.5r + -9.7 + -5x = 0 + -9.7 Reorder the terms: 9.7 + -9.7 + -5.5r + -5x = 0 + -9.7 Combine like terms: 9.7 + -9.7 = 0.0 0.0 + -5.5r + -5x = 0 + -9.7 -5.5r + -5x = 0 + -9.7 Combine like terms: 0 + -9.7 = -9.7 -5.5r + -5x = -9.7 Add '5x' to each side of the equation. -5.5r + -5x + 5x = -9.7 + 5x Combine like terms: -5x + 5x = 0 -5.5r + 0 = -9.7 + 5x -5.5r = -9.7 + 5x Divide each side by '-5.5'. r = 1.763636364 + -0.9090909091x Simplifying r = 1.763636364 + -0.9090909091x
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