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Simplifying -3[-1p + (-3pq + 2)] + -5pq + 5(-4pq + 5p + 3) = 0 Reorder the terms: -3[-1p + (2 + -3pq)] + -5pq + 5(-4pq + 5p + 3) = 0 Remove parenthesis around (2 + -3pq) -3[-1p + 2 + -3pq] + -5pq + 5(-4pq + 5p + 3) = 0 Reorder the terms: -3[2 + -1p + -3pq] + -5pq + 5(-4pq + 5p + 3) = 0 [2 * -3 + -1p * -3 + -3pq * -3] + -5pq + 5(-4pq + 5p + 3) = 0 [-6 + 3p + 9pq] + -5pq + 5(-4pq + 5p + 3) = 0 Reorder the terms: -6 + 3p + 9pq + -5pq + 5(3 + 5p + -4pq) = 0 -6 + 3p + 9pq + -5pq + (3 * 5 + 5p * 5 + -4pq * 5) = 0 -6 + 3p + 9pq + -5pq + (15 + 25p + -20pq) = 0 Reorder the terms: -6 + 15 + 3p + 25p + 9pq + -5pq + -20pq = 0 Combine like terms: -6 + 15 = 9 9 + 3p + 25p + 9pq + -5pq + -20pq = 0 Combine like terms: 3p + 25p = 28p 9 + 28p + 9pq + -5pq + -20pq = 0 Combine like terms: 9pq + -5pq = 4pq 9 + 28p + 4pq + -20pq = 0 Combine like terms: 4pq + -20pq = -16pq 9 + 28p + -16pq = 0 Solving 9 + 28p + -16pq = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 28p + -9 + -16pq = 0 + -9 Reorder the terms: 9 + -9 + 28p + -16pq = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 28p + -16pq = 0 + -9 28p + -16pq = 0 + -9 Combine like terms: 0 + -9 = -9 28p + -16pq = -9 Reorder the terms: 9 + 28p + -16pq = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 28p + -16pq = 0 The solution to this equation could not be determined.
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