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Simplifying 0.8r + 7 = 0.7r + 1 Reorder the terms: 7 + 0.8r = 0.7r + 1 Reorder the terms: 7 + 0.8r = 1 + 0.7r Solving 7 + 0.8r = 1 + 0.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.7r' to each side of the equation. 7 + 0.8r + -0.7r = 1 + 0.7r + -0.7r Combine like terms: 0.8r + -0.7r = 0.1r 7 + 0.1r = 1 + 0.7r + -0.7r Combine like terms: 0.7r + -0.7r = 0.0 7 + 0.1r = 1 + 0.0 7 + 0.1r = 1 Add '-7' to each side of the equation. 7 + -7 + 0.1r = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 0.1r = 1 + -7 0.1r = 1 + -7 Combine like terms: 1 + -7 = -6 0.1r = -6 Divide each side by '0.1'. r = -60 Simplifying r = -60
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