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Simplifying 0.7r + 1.9 + 0.1r = 5.5 + -0.4r Reorder the terms: 1.9 + 0.7r + 0.1r = 5.5 + -0.4r Combine like terms: 0.7r + 0.1r = 0.8r 1.9 + 0.8r = 5.5 + -0.4r Solving 1.9 + 0.8r = 5.5 + -0.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.4r' to each side of the equation. 1.9 + 0.8r + 0.4r = 5.5 + -0.4r + 0.4r Combine like terms: 0.8r + 0.4r = 1.2r 1.9 + 1.2r = 5.5 + -0.4r + 0.4r Combine like terms: -0.4r + 0.4r = 0.0 1.9 + 1.2r = 5.5 + 0.0 1.9 + 1.2r = 5.5 Add '-1.9' to each side of the equation. 1.9 + -1.9 + 1.2r = 5.5 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 1.2r = 5.5 + -1.9 1.2r = 5.5 + -1.9 Combine like terms: 5.5 + -1.9 = 3.6 1.2r = 3.6 Divide each side by '1.2'. r = 3 Simplifying r = 3
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