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Simplifying 7r + -3 = 10 + -2r Reorder the terms: -3 + 7r = 10 + -2r Solving -3 + 7r = 10 + -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. -3 + 7r + 2r = 10 + -2r + 2r Combine like terms: 7r + 2r = 9r -3 + 9r = 10 + -2r + 2r Combine like terms: -2r + 2r = 0 -3 + 9r = 10 + 0 -3 + 9r = 10 Add '3' to each side of the equation. -3 + 3 + 9r = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 9r = 10 + 3 9r = 10 + 3 Combine like terms: 10 + 3 = 13 9r = 13 Divide each side by '9'. r = 1.444444444 Simplifying r = 1.444444444
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