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Simplifying 1.6r + 9 = 1.4r + 13 Reorder the terms: 9 + 1.6r = 1.4r + 13 Reorder the terms: 9 + 1.6r = 13 + 1.4r Solving 9 + 1.6r = 13 + 1.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.4r' to each side of the equation. 9 + 1.6r + -1.4r = 13 + 1.4r + -1.4r Combine like terms: 1.6r + -1.4r = 0.2r 9 + 0.2r = 13 + 1.4r + -1.4r Combine like terms: 1.4r + -1.4r = 0.0 9 + 0.2r = 13 + 0.0 9 + 0.2r = 13 Add '-9' to each side of the equation. 9 + -9 + 0.2r = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 0.2r = 13 + -9 0.2r = 13 + -9 Combine like terms: 13 + -9 = 4 0.2r = 4 Divide each side by '0.2'. r = 20 Simplifying r = 20
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