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Simplifying 10 + -1r + -3r = 7r + -23 Combine like terms: -1r + -3r = -4r 10 + -4r = 7r + -23 Reorder the terms: 10 + -4r = -23 + 7r Solving 10 + -4r = -23 + 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. 10 + -4r + -7r = -23 + 7r + -7r Combine like terms: -4r + -7r = -11r 10 + -11r = -23 + 7r + -7r Combine like terms: 7r + -7r = 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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