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Simplifying 2 + 10(2 + 8r) = 9r + -49 2 + (2 * 10 + 8r * 10) = 9r + -49 2 + (20 + 80r) = 9r + -49 Combine like terms: 2 + 20 = 22 22 + 80r = 9r + -49 Reorder the terms: 22 + 80r = -49 + 9r Solving 22 + 80r = -49 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 22 + 80r + -9r = -49 + 9r + -9r Combine like terms: 80r + -9r = 71r 22 + 71r = -49 + 9r + -9r Combine like terms: 9r + -9r = 0 22 + 71r = -49 + 0 22 + 71r = -49 Add '-22' to each side of the equation. 22 + -22 + 71r = -49 + -22 Combine like terms: 22 + -22 = 0 0 + 71r = -49 + -22 71r = -49 + -22 Combine like terms: -49 + -22 = -71 71r = -71 Divide each side by '71'. r = -1 Simplifying r = -1
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