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Simplifying 7r + 10 = 2r + 5 Reorder the terms: 10 + 7r = 2r + 5 Reorder the terms: 10 + 7r = 5 + 2r Solving 10 + 7r = 5 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 10 + 7r + -2r = 5 + 2r + -2r Combine like terms: 7r + -2r = 5r 10 + 5r = 5 + 2r + -2r Combine like terms: 2r + -2r = 0 10 + 5r = 5 + 0 10 + 5r = 5 Add '-10' to each side of the equation. 10 + -10 + 5r = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 5r = 5 + -10 5r = 5 + -10 Combine like terms: 5 + -10 = -5 5r = -5 Divide each side by '5'. r = -1 Simplifying r = -1
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