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Simplifying (r + -3)(2x + 5) = 0 Reorder the terms: (-3 + r)(2x + 5) = 0 Reorder the terms: (-3 + r)(5 + 2x) = 0 Multiply (-3 + r) * (5 + 2x) (-3(5 + 2x) + r(5 + 2x)) = 0 ((5 * -3 + 2x * -3) + r(5 + 2x)) = 0 ((-15 + -6x) + r(5 + 2x)) = 0 (-15 + -6x + (5 * r + 2x * r)) = 0 (-15 + -6x + (5r + 2rx)) = 0 Reorder the terms: (-15 + 5r + 2rx + -6x) = 0 (-15 + 5r + 2rx + -6x) = 0 Solving -15 + 5r + 2rx + -6x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5r + 2rx + 15 + -6x = 0 + 15 Reorder the terms: -15 + 15 + 5r + 2rx + -6x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5r + 2rx + -6x = 0 + 15 5r + 2rx + -6x = 0 + 15 Combine like terms: 0 + 15 = 15 5r + 2rx + -6x = 15 Add '6x' to each side of the equation. 5r + 2rx + -6x + 6x = 15 + 6x Combine like terms: -6x + 6x = 0 5r + 2rx + 0 = 15 + 6x 5r + 2rx = 15 + 6x Reorder the terms: -15 + 5r + 2rx + -6x = 15 + 6x + -15 + -6x Reorder the terms: -15 + 5r + 2rx + -6x = 15 + -15 + 6x + -6x Combine like terms: 15 + -15 = 0 -15 + 5r + 2rx + -6x = 0 + 6x + -6x -15 + 5r + 2rx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 5r + 2rx + -6x = 0 The solution to this equation could not be determined.
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