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Simplifying 11r + 3 = 31r + 7 Reorder the terms: 3 + 11r = 31r + 7 Reorder the terms: 3 + 11r = 7 + 31r Solving 3 + 11r = 7 + 31r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-31r' to each side of the equation. 3 + 11r + -31r = 7 + 31r + -31r Combine like terms: 11r + -31r = -20r 3 + -20r = 7 + 31r + -31r Combine like terms: 31r + -31r = 0 3 + -20r = 7 + 0 3 + -20r = 7 Add '-3' to each side of the equation. 3 + -3 + -20r = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -20r = 7 + -3 -20r = 7 + -3 Combine like terms: 7 + -3 = 4 -20r = 4 Divide each side by '-20'. r = -0.2 Simplifying r = -0.2
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