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Simplifying 43 = 3r + 8 + 4r Reorder the terms: 43 = 8 + 3r + 4r Combine like terms: 3r + 4r = 7r 43 = 8 + 7r Solving 43 = 8 + 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. 43 + -7r = 8 + 7r + -7r Combine like terms: 7r + -7r = 0 43 + -7r = 8 + 0 43 + -7r = 8 Add '-43' to each side of the equation. 43 + -43 + -7r = 8 + -43 Combine like terms: 43 + -43 = 0 0 + -7r = 8 + -43 -7r = 8 + -43 Combine like terms: 8 + -43 = -35 -7r = -35 Divide each side by '-7'. r = 5 Simplifying r = 5
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