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Simplifying 5(9r + 4) = 20 + -7r Reorder the terms: 5(4 + 9r) = 20 + -7r (4 * 5 + 9r * 5) = 20 + -7r (20 + 45r) = 20 + -7r Add '-20' to each side of the equation. 20 + -20 + 45r = 20 + -20 + -7r Combine like terms: 20 + -20 = 0 0 + 45r = 20 + -20 + -7r 45r = 20 + -20 + -7r Combine like terms: 20 + -20 = 0 45r = 0 + -7r 45r = -7r Solving 45r = -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 45r + 7r = -7r + 7r Combine like terms: 45r + 7r = 52r 52r = -7r + 7r Combine like terms: -7r + 7r = 0 52r = 0 Divide each side by '52'. r = 0 Simplifying r = 0
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