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Simplifying r + 5 = 3r + 1 Reorder the terms: 5 + r = 3r + 1 Reorder the terms: 5 + r = 1 + 3r Solving 5 + r = 1 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 5 + r + -3r = 1 + 3r + -3r Combine like terms: r + -3r = -2r 5 + -2r = 1 + 3r + -3r Combine like terms: 3r + -3r = 0 5 + -2r = 1 + 0 5 + -2r = 1 Add '-5' to each side of the equation. 5 + -5 + -2r = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 1 + -5 -2r = 1 + -5 Combine like terms: 1 + -5 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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