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Simplifying (4x + 7)(9 + v) = 0 Reorder the terms: (7 + 4x)(9 + v) = 0 Multiply (7 + 4x) * (9 + v) (7(9 + v) + 4x * (9 + v)) = 0 ((9 * 7 + v * 7) + 4x * (9 + v)) = 0 ((63 + 7v) + 4x * (9 + v)) = 0 (63 + 7v + (9 * 4x + v * 4x)) = 0 Reorder the terms: (63 + 7v + (4vx + 36x)) = 0 (63 + 7v + (4vx + 36x)) = 0 (63 + 7v + 4vx + 36x) = 0 Solving 63 + 7v + 4vx + 36x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + 7v + 4vx + -63 + 36x = 0 + -63 Reorder the terms: 63 + -63 + 7v + 4vx + 36x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 7v + 4vx + 36x = 0 + -63 7v + 4vx + 36x = 0 + -63 Combine like terms: 0 + -63 = -63 7v + 4vx + 36x = -63 Add '-36x' to each side of the equation. 7v + 4vx + 36x + -36x = -63 + -36x Combine like terms: 36x + -36x = 0 7v + 4vx + 0 = -63 + -36x 7v + 4vx = -63 + -36x Reorder the terms: 63 + 7v + 4vx + 36x = -63 + -36x + 63 + 36x Reorder the terms: 63 + 7v + 4vx + 36x = -63 + 63 + -36x + 36x Combine like terms: -63 + 63 = 0 63 + 7v + 4vx + 36x = 0 + -36x + 36x 63 + 7v + 4vx + 36x = -36x + 36x Combine like terms: -36x + 36x = 0 63 + 7v + 4vx + 36x = 0 The solution to this equation could not be determined.
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