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