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Simplifying 3r + 1 = r + 7 Reorder the terms: 1 + 3r = r + 7 Reorder the terms: 1 + 3r = 7 + r Solving 1 + 3r = 7 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 1 + 3r + -1r = 7 + r + -1r Combine like terms: 3r + -1r = 2r 1 + 2r = 7 + r + -1r Combine like terms: r + -1r = 0 1 + 2r = 7 + 0 1 + 2r = 7 Add '-1' to each side of the equation. 1 + -1 + 2r = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 7 + -1 2r = 7 + -1 Combine like terms: 7 + -1 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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