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Simplifying r2 + 576 = r2 + 32r + 1024 Reorder the terms: 576 + r2 = r2 + 32r + 1024 Reorder the terms: 576 + r2 = 1024 + 32r + r2 Add '-1r2' to each side of the equation. 576 + r2 + -1r2 = 1024 + 32r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 576 + 0 = 1024 + 32r + r2 + -1r2 576 = 1024 + 32r + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 576 = 1024 + 32r + 0 576 = 1024 + 32r Solving 576 = 1024 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. 576 + -32r = 1024 + 32r + -32r Combine like terms: 32r + -32r = 0 576 + -32r = 1024 + 0 576 + -32r = 1024 Add '-576' to each side of the equation. 576 + -576 + -32r = 1024 + -576 Combine like terms: 576 + -576 = 0 0 + -32r = 1024 + -576 -32r = 1024 + -576 Combine like terms: 1024 + -576 = 448 -32r = 448 Divide each side by '-32'. r = -14 Simplifying r = -14
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