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Simplifying [7(p + 5) + -18] + [2(p + -2) + 5] = 0 Reorder the terms: [7(5 + p) + -18] + [2(p + -2) + 5] = 0 [(5 * 7 + p * 7) + -18] + [2(p + -2) + 5] = 0 [(35 + 7p) + -18] + [2(p + -2) + 5] = 0 Reorder the terms: [35 + -18 + 7p] + [2(p + -2) + 5] = 0 Combine like terms: 35 + -18 = 17 [17 + 7p] + [2(p + -2) + 5] = 0 Remove brackets around [17 + 7p] 17 + 7p + [2(p + -2) + 5] = 0 Reorder the terms: 17 + 7p + [2(-2 + p) + 5] = 0 17 + 7p + [(-2 * 2 + p * 2) + 5] = 0 17 + 7p + [(-4 + 2p) + 5] = 0 Reorder the terms: 17 + 7p + [-4 + 5 + 2p] = 0 Combine like terms: -4 + 5 = 1 17 + 7p + [1 + 2p] = 0 Remove brackets around [1 + 2p] 17 + 7p + 1 + 2p = 0 Reorder the terms: 17 + 1 + 7p + 2p = 0 Combine like terms: 17 + 1 = 18 18 + 7p + 2p = 0 Combine like terms: 7p + 2p = 9p 18 + 9p = 0 Solving 18 + 9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9p = 0 + -18 9p = 0 + -18 Combine like terms: 0 + -18 = -18 9p = -18 Divide each side by '9'. p = -2 Simplifying p = -2
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