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Simplifying [9(p + 5) + -16] + [3(p + -3) + 1] = 0 Reorder the terms: [9(5 + p) + -16] + [3(p + -3) + 1] = 0 [(5 * 9 + p * 9) + -16] + [3(p + -3) + 1] = 0 [(45 + 9p) + -16] + [3(p + -3) + 1] = 0 Reorder the terms: [45 + -16 + 9p] + [3(p + -3) + 1] = 0 Combine like terms: 45 + -16 = 29 [29 + 9p] + [3(p + -3) + 1] = 0 Remove brackets around [29 + 9p] 29 + 9p + [3(p + -3) + 1] = 0 Reorder the terms: 29 + 9p + [3(-3 + p) + 1] = 0 29 + 9p + [(-3 * 3 + p * 3) + 1] = 0 29 + 9p + [(-9 + 3p) + 1] = 0 Reorder the terms: 29 + 9p + [-9 + 1 + 3p] = 0 Combine like terms: -9 + 1 = -8 29 + 9p + [-8 + 3p] = 0 Remove brackets around [-8 + 3p] 29 + 9p + -8 + 3p = 0 Reorder the terms: 29 + -8 + 9p + 3p = 0 Combine like terms: 29 + -8 = 21 21 + 9p + 3p = 0 Combine like terms: 9p + 3p = 12p 21 + 12p = 0 Solving 21 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 12p = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 12p = 0 + -21 12p = 0 + -21 Combine like terms: 0 + -21 = -21 12p = -21 Divide each side by '12'. p = -1.75 Simplifying p = -1.75
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