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Simplifying 3 + 3r + -2 = 8r + 13 + -2r Reorder the terms: 3 + -2 + 3r = 8r + 13 + -2r Combine like terms: 3 + -2 = 1 1 + 3r = 8r + 13 + -2r Reorder the terms: 1 + 3r = 13 + 8r + -2r Combine like terms: 8r + -2r = 6r 1 + 3r = 13 + 6r Solving 1 + 3r = 13 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 1 + 3r + -6r = 13 + 6r + -6r Combine like terms: 3r + -6r = -3r 1 + -3r = 13 + 6r + -6r Combine like terms: 6r + -6r = 0 1 + -3r = 13 + 0 1 + -3r = 13 Add '-1' to each side of the equation. 1 + -1 + -3r = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -3r = 13 + -1 -3r = 13 + -1 Combine like terms: 13 + -1 = 12 -3r = 12 Divide each side by '-3'. r = -4 Simplifying r = -4
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