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Simplifying (r2 + s)(8) = 24 Reorder the terms for easier multiplication: 8(r2 + s) = 24 (r2 * 8 + s * 8) = 24 (8r2 + 8s) = 24 Solving 8r2 + 8s = 24 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8s' to each side of the equation. 8r2 + 8s + -8s = 24 + -8s Combine like terms: 8s + -8s = 0 8r2 + 0 = 24 + -8s 8r2 = 24 + -8s Divide each side by '8'. r2 = 3 + -1s Simplifying r2 = 3 + -1s Reorder the terms: -3 + r2 + s = 3 + -1s + -3 + s Reorder the terms: -3 + r2 + s = 3 + -3 + -1s + s Combine like terms: 3 + -3 = 0 -3 + r2 + s = 0 + -1s + s -3 + r2 + s = -1s + s Combine like terms: -1s + s = 0 -3 + r2 + s = 0 The solution to this equation could not be determined.
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