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Simplifying 6r + 10 = -23 + -5r Reorder the terms: 10 + 6r = -23 + -5r Solving 10 + 6r = -23 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 10 + 6r + 5r = -23 + -5r + 5r Combine like terms: 6r + 5r = 11r 10 + 11r = -23 + -5r + 5r Combine like terms: -5r + 5r = 0 10 + 11r = -23 + 0 10 + 11r = -23 Add '-10' to each side of the equation. 10 + -10 + 11r = -23 + -10 Combine like terms: 10 + -10 = 0 0 + 11r = -23 + -10 11r = -23 + -10 Combine like terms: -23 + -10 = -33 11r = -33 Divide each side by '11'. r = -3 Simplifying r = -3
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