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Simplifying r + 103 = -1r + 9 Reorder the terms: 103 + r = -1r + 9 Reorder the terms: 103 + r = 9 + -1r Solving 103 + r = 9 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 103 + r + r = 9 + -1r + r Combine like terms: r + r = 2r 103 + 2r = 9 + -1r + r Combine like terms: -1r + r = 0 103 + 2r = 9 + 0 103 + 2r = 9 Add '-103' to each side of the equation. 103 + -103 + 2r = 9 + -103 Combine like terms: 103 + -103 = 0 0 + 2r = 9 + -103 2r = 9 + -103 Combine like terms: 9 + -103 = -94 2r = -94 Divide each side by '2'. r = -47 Simplifying r = -47
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