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Simplifying 8r + 9 + 6r = 5(2 + 8r) Reorder the terms: 9 + 8r + 6r = 5(2 + 8r) Combine like terms: 8r + 6r = 14r 9 + 14r = 5(2 + 8r) 9 + 14r = (2 * 5 + 8r * 5) 9 + 14r = (10 + 40r) Solving 9 + 14r = 10 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 9 + 14r + -40r = 10 + 40r + -40r Combine like terms: 14r + -40r = -26r 9 + -26r = 10 + 40r + -40r Combine like terms: 40r + -40r = 0 9 + -26r = 10 + 0 9 + -26r = 10 Add '-9' to each side of the equation. 9 + -9 + -26r = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -26r = 10 + -9 -26r = 10 + -9 Combine like terms: 10 + -9 = 1 -26r = 1 Divide each side by '-26'. r = -0.03846153846 Simplifying r = -0.03846153846
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