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Simplifying 2r + 5(1 + 3r) = -97 2r + (1 * 5 + 3r * 5) = -97 2r + (5 + 15r) = -97 Reorder the terms: 5 + 2r + 15r = -97 Combine like terms: 2r + 15r = 17r 5 + 17r = -97 Solving 5 + 17r = -97 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 17r = -97 + -5 Combine like terms: 5 + -5 = 0 0 + 17r = -97 + -5 17r = -97 + -5 Combine like terms: -97 + -5 = -102 17r = -102 Divide each side by '17'. r = -6 Simplifying r = -6
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