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Simplifying 1.7r + 7 = 1.4r + 13 Reorder the terms: 7 + 1.7r = 1.4r + 13 Reorder the terms: 7 + 1.7r = 13 + 1.4r Solving 7 + 1.7r = 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. 7 + 1.7r + -1.4r = 13 + 1.4r + -1.4r Combine like terms: 1.7r + -1.4r = 0.3r 7 + 0.3r = 13 + 1.4r + -1.4r Combine like terms: 1.4r + -1.4r = 0.0 7 + 0.3r = 13 + 0.0 7 + 0.3r = 13 Add '-7' to each side of the equation. 7 + -7 + 0.3r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 0.3r = 13 + -7 0.3r = 13 + -7 Combine like terms: 13 + -7 = 6 0.3r = 6 Divide each side by '0.3'. r = 20 Simplifying r = 20
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