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Simplifying 5(r + -1) + 5 = 3r + -2 Reorder the terms: 5(-1 + r) + 5 = 3r + -2 (-1 * 5 + r * 5) + 5 = 3r + -2 (-5 + 5r) + 5 = 3r + -2 Reorder the terms: -5 + 5 + 5r = 3r + -2 Combine like terms: -5 + 5 = 0 0 + 5r = 3r + -2 5r = 3r + -2 Reorder the terms: 5r = -2 + 3r Solving 5r = -2 + 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. 5r + -3r = -2 + 3r + -3r Combine like terms: 5r + -3r = 2r 2r = -2 + 3r + -3r Combine like terms: 3r + -3r = 0 2r = -2 + 0 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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