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Simplifying 14 + 2r + 5(2r + -1) = 0 Reorder the terms: 14 + 2r + 5(-1 + 2r) = 0 14 + 2r + (-1 * 5 + 2r * 5) = 0 14 + 2r + (-5 + 10r) = 0 Reorder the terms: 14 + -5 + 2r + 10r = 0 Combine like terms: 14 + -5 = 9 9 + 2r + 10r = 0 Combine like terms: 2r + 10r = 12r 9 + 12r = 0 Solving 9 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 12r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12r = 0 + -9 12r = 0 + -9 Combine like terms: 0 + -9 = -9 12r = -9 Divide each side by '12'. r = -0.75 Simplifying r = -0.75
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