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Simplifying [3(p + -5) + 16] + -1[2(3p + -3) + 4] = 0 Reorder the terms: [3(-5 + p) + 16] + -1[2(3p + -3) + 4] = 0 [(-5 * 3 + p * 3) + 16] + -1[2(3p + -3) + 4] = 0 [(-15 + 3p) + 16] + -1[2(3p + -3) + 4] = 0 Reorder the terms: [-15 + 16 + 3p] + -1[2(3p + -3) + 4] = 0 Combine like terms: -15 + 16 = 1 [1 + 3p] + -1[2(3p + -3) + 4] = 0 Remove brackets around [1 + 3p] 1 + 3p + -1[2(3p + -3) + 4] = 0 Reorder the terms: 1 + 3p + -1[2(-3 + 3p) + 4] = 0 1 + 3p + -1[(-3 * 2 + 3p * 2) + 4] = 0 1 + 3p + -1[(-6 + 6p) + 4] = 0 Reorder the terms: 1 + 3p + -1[-6 + 4 + 6p] = 0 Combine like terms: -6 + 4 = -2 1 + 3p + -1[-2 + 6p] = 0 1 + 3p + [-2 * -1 + 6p * -1] = 0 1 + 3p + [2 + -6p] = 0 Reorder the terms: 1 + 2 + 3p + -6p = 0 Combine like terms: 1 + 2 = 3 3 + 3p + -6p = 0 Combine like terms: 3p + -6p = -3p 3 + -3p = 0 Solving 3 + -3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3p = 0 + -3 -3p = 0 + -3 Combine like terms: 0 + -3 = -3 -3p = -3 Divide each side by '-3'. p = 1 Simplifying p = 1
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