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Simplifying 1.7r + 7 = 1.5r + 11 Reorder the terms: 7 + 1.7r = 1.5r + 11 Reorder the terms: 7 + 1.7r = 11 + 1.5r Solving 7 + 1.7r = 11 + 1.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.5r' to each side of the equation. 7 + 1.7r + -1.5r = 11 + 1.5r + -1.5r Combine like terms: 1.7r + -1.5r = 0.2r 7 + 0.2r = 11 + 1.5r + -1.5r Combine like terms: 1.5r + -1.5r = 0.0 7 + 0.2r = 11 + 0.0 7 + 0.2r = 11 Add '-7' to each side of the equation. 7 + -7 + 0.2r = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 0.2r = 11 + -7 0.2r = 11 + -7 Combine like terms: 11 + -7 = 4 0.2r = 4 Divide each side by '0.2'. r = 20 Simplifying r = 20
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