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Simplifying 1r + 1.6 + -3.7r + -0.3 = r + -1.7 + -0.2r + -0.6 Reorder the terms: 1.6 + -0.3 + 1r + -3.7r = r + -1.7 + -0.2r + -0.6 Combine like terms: 1.6 + -0.3 = 1.3 1.3 + 1r + -3.7r = r + -1.7 + -0.2r + -0.6 Combine like terms: 1r + -3.7r = -2.7r 1.3 + -2.7r = r + -1.7 + -0.2r + -0.6 Reorder the terms: 1.3 + -2.7r = -1.7 + -0.6 + r + -0.2r Combine like terms: -1.7 + -0.6 = -2.3 1.3 + -2.7r = -2.3 + r + -0.2r Combine like terms: r + -0.2r = 0.8r 1.3 + -2.7r = -2.3 + 0.8r Solving 1.3 + -2.7r = -2.3 + 0.8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.8r' to each side of the equation. 1.3 + -2.7r + -0.8r = -2.3 + 0.8r + -0.8r Combine like terms: -2.7r + -0.8r = -3.5r 1.3 + -3.5r = -2.3 + 0.8r + -0.8r Combine like terms: 0.8r + -0.8r = 0.0 1.3 + -3.5r = -2.3 + 0.0 1.3 + -3.5r = -2.3 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -3.5r = -2.3 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -3.5r = -2.3 + -1.3 -3.5r = -2.3 + -1.3 Combine like terms: -2.3 + -1.3 = -3.6 -3.5r = -3.6 Divide each side by '-3.5'. r = 1.028571429 Simplifying r = 1.028571429
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