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Simplifying 10r + 3(-1 + 10r) = 0 10r + (-1 * 3 + 10r * 3) = 0 10r + (-3 + 30r) = 0 Reorder the terms: -3 + 10r + 30r = 0 Combine like terms: 10r + 30r = 40r -3 + 40r = 0 Solving -3 + 40r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 40r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 40r = 0 + 3 40r = 0 + 3 Combine like terms: 0 + 3 = 3 40r = 3 Divide each side by '40'. r = 0.075 Simplifying r = 0.075
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