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Simplifying -3r + -3 + 6r + 13 = 1 + 6r Reorder the terms: -3 + 13 + -3r + 6r = 1 + 6r Combine like terms: -3 + 13 = 10 10 + -3r + 6r = 1 + 6r Combine like terms: -3r + 6r = 3r 10 + 3r = 1 + 6r Solving 10 + 3r = 1 + 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. 10 + 3r + -6r = 1 + 6r + -6r Combine like terms: 3r + -6r = -3r 10 + -3r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 10 + -3r = 1 + 0 10 + -3r = 1 Add '-10' to each side of the equation. 10 + -10 + -3r = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3r = 1 + -10 -3r = 1 + -10 Combine like terms: 1 + -10 = -9 -3r = -9 Divide each side by '-3'. r = 3 Simplifying r = 3
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