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Simplifying 3r + -5 + 6r + 21 = 43 Reorder the terms: -5 + 21 + 3r + 6r = 43 Combine like terms: -5 + 21 = 16 16 + 3r + 6r = 43 Combine like terms: 3r + 6r = 9r 16 + 9r = 43 Solving 16 + 9r = 43 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9r = 43 + -16 Combine like terms: 16 + -16 = 0 0 + 9r = 43 + -16 9r = 43 + -16 Combine like terms: 43 + -16 = 27 9r = 27 Divide each side by '9'. r = 3 Simplifying r = 3
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