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Simplifying 5(9r + 2) = -22 + -6r Reorder the terms: 5(2 + 9r) = -22 + -6r (2 * 5 + 9r * 5) = -22 + -6r (10 + 45r) = -22 + -6r Solving 10 + 45r = -22 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 10 + 45r + 6r = -22 + -6r + 6r Combine like terms: 45r + 6r = 51r 10 + 51r = -22 + -6r + 6r Combine like terms: -6r + 6r = 0 10 + 51r = -22 + 0 10 + 51r = -22 Add '-10' to each side of the equation. 10 + -10 + 51r = -22 + -10 Combine like terms: 10 + -10 = 0 0 + 51r = -22 + -10 51r = -22 + -10 Combine like terms: -22 + -10 = -32 51r = -32 Divide each side by '51'. r = -0.6274509804 Simplifying r = -0.6274509804
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