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Simplifying [9(p + 4) + -18] + -1[2(p + -4) + 1] = 0 Reorder the terms: [9(4 + p) + -18] + -1[2(p + -4) + 1] = 0 [(4 * 9 + p * 9) + -18] + -1[2(p + -4) + 1] = 0 [(36 + 9p) + -18] + -1[2(p + -4) + 1] = 0 Reorder the terms: [36 + -18 + 9p] + -1[2(p + -4) + 1] = 0 Combine like terms: 36 + -18 = 18 [18 + 9p] + -1[2(p + -4) + 1] = 0 Remove brackets around [18 + 9p] 18 + 9p + -1[2(p + -4) + 1] = 0 Reorder the terms: 18 + 9p + -1[2(-4 + p) + 1] = 0 18 + 9p + -1[(-4 * 2 + p * 2) + 1] = 0 18 + 9p + -1[(-8 + 2p) + 1] = 0 Reorder the terms: 18 + 9p + -1[-8 + 1 + 2p] = 0 Combine like terms: -8 + 1 = -7 18 + 9p + -1[-7 + 2p] = 0 18 + 9p + [-7 * -1 + 2p * -1] = 0 18 + 9p + [7 + -2p] = 0 Reorder the terms: 18 + 7 + 9p + -2p = 0 Combine like terms: 18 + 7 = 25 25 + 9p + -2p = 0 Combine like terms: 9p + -2p = 7p 25 + 7p = 0 Solving 25 + 7p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 7p = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 7p = 0 + -25 7p = 0 + -25 Combine like terms: 0 + -25 = -25 7p = -25 Divide each side by '7'. p = -3.571428571 Simplifying p = -3.571428571
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