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Simplifying r + 3 = 6 + -2r + 1 + r Reorder the terms: 3 + r = 6 + -2r + 1 + r Reorder the terms: 3 + r = 6 + 1 + -2r + r Combine like terms: 6 + 1 = 7 3 + r = 7 + -2r + r Combine like terms: -2r + r = -1r 3 + r = 7 + -1r Solving 3 + r = 7 + -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. 3 + r + r = 7 + -1r + r Combine like terms: r + r = 2r 3 + 2r = 7 + -1r + r Combine like terms: -1r + r = 0 3 + 2r = 7 + 0 3 + 2r = 7 Add '-3' to each side of the equation. 3 + -3 + 2r = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 7 + -3 2r = 7 + -3 Combine like terms: 7 + -3 = 4 2r = 4 Divide each side by '2'. r = 2 Simplifying r = 2
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