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Simplifying 3r + 5(4r + 10) = 15r + 11r + -10 Reorder the terms: 3r + 5(10 + 4r) = 15r + 11r + -10 3r + (10 * 5 + 4r * 5) = 15r + 11r + -10 3r + (50 + 20r) = 15r + 11r + -10 Reorder the terms: 50 + 3r + 20r = 15r + 11r + -10 Combine like terms: 3r + 20r = 23r 50 + 23r = 15r + 11r + -10 Reorder the terms: 50 + 23r = -10 + 15r + 11r Combine like terms: 15r + 11r = 26r 50 + 23r = -10 + 26r Solving 50 + 23r = -10 + 26r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26r' to each side of the equation. 50 + 23r + -26r = -10 + 26r + -26r Combine like terms: 23r + -26r = -3r 50 + -3r = -10 + 26r + -26r Combine like terms: 26r + -26r = 0 50 + -3r = -10 + 0 50 + -3r = -10 Add '-50' to each side of the equation. 50 + -50 + -3r = -10 + -50 Combine like terms: 50 + -50 = 0 0 + -3r = -10 + -50 -3r = -10 + -50 Combine like terms: -10 + -50 = -60 -3r = -60 Divide each side by '-3'. r = 20 Simplifying r = 20
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