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Simplifying r + 5 = 3r + 7 Reorder the terms: 5 + r = 3r + 7 Reorder the terms: 5 + r = 7 + 3r Solving 5 + r = 7 + 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 = 7 + 3r + -3r Combine like terms: r + -3r = -2r 5 + -2r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 5 + -2r = 7 + 0 5 + -2r = 7 Add '-5' to each side of the equation. 5 + -5 + -2r = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 7 + -5 -2r = 7 + -5 Combine like terms: 7 + -5 = 2 -2r = 2 Divide each side by '-2'. r = -1 Simplifying r = -1
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