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Simplifying 3r + -5 = 10 + -7r Reorder the terms: -5 + 3r = 10 + -7r Solving -5 + 3r = 10 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -5 + 3r + 7r = 10 + -7r + 7r Combine like terms: 3r + 7r = 10r -5 + 10r = 10 + -7r + 7r Combine like terms: -7r + 7r = 0 -5 + 10r = 10 + 0 -5 + 10r = 10 Add '5' to each side of the equation. -5 + 5 + 10r = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 10r = 10 + 5 10r = 10 + 5 Combine like terms: 10 + 5 = 15 10r = 15 Divide each side by '10'. r = 1.5 Simplifying r = 1.5
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