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Simplifying 5(r + 2) + 7r = 0 Reorder the terms: 5(2 + r) + 7r = 0 (2 * 5 + r * 5) + 7r = 0 (10 + 5r) + 7r = 0 Combine like terms: 5r + 7r = 12r 10 + 12r = 0 Solving 10 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 12r = 0 + -10 12r = 0 + -10 Combine like terms: 0 + -10 = -10 12r = -10 Divide each side by '12'. r = -0.8333333333 Simplifying r = -0.8333333333
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