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Simplifying (2b + -3)(r + 4) = 0 Reorder the terms: (-3 + 2b)(r + 4) = 0 Reorder the terms: (-3 + 2b)(4 + r) = 0 Multiply (-3 + 2b) * (4 + r) (-3(4 + r) + 2b * (4 + r)) = 0 ((4 * -3 + r * -3) + 2b * (4 + r)) = 0 ((-12 + -3r) + 2b * (4 + r)) = 0 (-12 + -3r + (4 * 2b + r * 2b)) = 0 (-12 + -3r + (8b + 2br)) = 0 Reorder the terms: (-12 + 8b + 2br + -3r) = 0 (-12 + 8b + 2br + -3r) = 0 Solving -12 + 8b + 2br + -3r = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8b + 2br + 12 + -3r = 0 + 12 Reorder the terms: -12 + 12 + 8b + 2br + -3r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8b + 2br + -3r = 0 + 12 8b + 2br + -3r = 0 + 12 Combine like terms: 0 + 12 = 12 8b + 2br + -3r = 12 Add '3r' to each side of the equation. 8b + 2br + -3r + 3r = 12 + 3r Combine like terms: -3r + 3r = 0 8b + 2br + 0 = 12 + 3r 8b + 2br = 12 + 3r Reorder the terms: -12 + 8b + 2br + -3r = 12 + 3r + -12 + -3r Reorder the terms: -12 + 8b + 2br + -3r = 12 + -12 + 3r + -3r Combine like terms: 12 + -12 = 0 -12 + 8b + 2br + -3r = 0 + 3r + -3r -12 + 8b + 2br + -3r = 3r + -3r Combine like terms: 3r + -3r = 0 -12 + 8b + 2br + -3r = 0 The solution to this equation could not be determined.
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