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Simplifying 13 + 3r = 6r + -7 + -10 Reorder the terms: 13 + 3r = -7 + -10 + 6r Combine like terms: -7 + -10 = -17 13 + 3r = -17 + 6r Solving 13 + 3r = -17 + 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. 13 + 3r + -6r = -17 + 6r + -6r Combine like terms: 3r + -6r = -3r 13 + -3r = -17 + 6r + -6r Combine like terms: 6r + -6r = 0 13 + -3r = -17 + 0 13 + -3r = -17 Add '-13' to each side of the equation. 13 + -13 + -3r = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -3r = -17 + -13 -3r = -17 + -13 Combine like terms: -17 + -13 = -30 -3r = -30 Divide each side by '-3'. r = 10 Simplifying r = 10
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