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Simplifying (r + -4)(R + 8) = 9 Reorder the terms: (-4 + r)(R + 8) = 9 Reorder the terms: (-4 + r)(8 + R) = 9 Multiply (-4 + r) * (8 + R) (-4(8 + R) + r(8 + R)) = 9 ((8 * -4 + R * -4) + r(8 + R)) = 9 ((-32 + -4R) + r(8 + R)) = 9 (-32 + -4R + (8 * r + R * r)) = 9 (-32 + -4R + (8r + rR)) = 9 (-32 + -4R + 8r + rR) = 9 Solving -32 + -4R + 8r + rR = 9 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -4R + 8r + 32 + rR = 9 + 32 Reorder the terms: -32 + 32 + -4R + 8r + rR = 9 + 32 Combine like terms: -32 + 32 = 0 0 + -4R + 8r + rR = 9 + 32 -4R + 8r + rR = 9 + 32 Combine like terms: 9 + 32 = 41 -4R + 8r + rR = 41 Add '-8r' to each side of the equation. -4R + 8r + -8r + rR = 41 + -8r Combine like terms: 8r + -8r = 0 -4R + 0 + rR = 41 + -8r -4R + rR = 41 + -8r Reorder the terms: -41 + -4R + 8r + rR = 41 + -8r + -41 + 8r Reorder the terms: -41 + -4R + 8r + rR = 41 + -41 + -8r + 8r Combine like terms: 41 + -41 = 0 -41 + -4R + 8r + rR = 0 + -8r + 8r -41 + -4R + 8r + rR = -8r + 8r Combine like terms: -8r + 8r = 0 -41 + -4R + 8r + rR = 0 The solution to this equation could not be determined.
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