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Simplifying 20 + 9r = 15r + -8r + -6 Reorder the terms: 20 + 9r = -6 + 15r + -8r Combine like terms: 15r + -8r = 7r 20 + 9r = -6 + 7r Solving 20 + 9r = -6 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 20 + 9r + -7r = -6 + 7r + -7r Combine like terms: 9r + -7r = 2r 20 + 2r = -6 + 7r + -7r Combine like terms: 7r + -7r = 0 20 + 2r = -6 + 0 20 + 2r = -6 Add '-20' to each side of the equation. 20 + -20 + 2r = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 2r = -6 + -20 2r = -6 + -20 Combine like terms: -6 + -20 = -26 2r = -26 Divide each side by '2'. r = -13 Simplifying r = -13
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