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Simplifying 7r + 4r + 15 = 8r + 3 Reorder the terms: 15 + 7r + 4r = 8r + 3 Combine like terms: 7r + 4r = 11r 15 + 11r = 8r + 3 Reorder the terms: 15 + 11r = 3 + 8r Solving 15 + 11r = 3 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 15 + 11r + -8r = 3 + 8r + -8r Combine like terms: 11r + -8r = 3r 15 + 3r = 3 + 8r + -8r Combine like terms: 8r + -8r = 0 15 + 3r = 3 + 0 15 + 3r = 3 Add '-15' to each side of the equation. 15 + -15 + 3r = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 3r = 3 + -15 3r = 3 + -15 Combine like terms: 3 + -15 = -12 3r = -12 Divide each side by '3'. r = -4 Simplifying r = -4
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