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Simplifying [9(p + 5) + -17] + -1[2(p + -4) + 3] = 0 Reorder the terms: [9(5 + p) + -17] + -1[2(p + -4) + 3] = 0 [(5 * 9 + p * 9) + -17] + -1[2(p + -4) + 3] = 0 [(45 + 9p) + -17] + -1[2(p + -4) + 3] = 0 Reorder the terms: [45 + -17 + 9p] + -1[2(p + -4) + 3] = 0 Combine like terms: 45 + -17 = 28 [28 + 9p] + -1[2(p + -4) + 3] = 0 Remove brackets around [28 + 9p] 28 + 9p + -1[2(p + -4) + 3] = 0 Reorder the terms: 28 + 9p + -1[2(-4 + p) + 3] = 0 28 + 9p + -1[(-4 * 2 + p * 2) + 3] = 0 28 + 9p + -1[(-8 + 2p) + 3] = 0 Reorder the terms: 28 + 9p + -1[-8 + 3 + 2p] = 0 Combine like terms: -8 + 3 = -5 28 + 9p + -1[-5 + 2p] = 0 28 + 9p + [-5 * -1 + 2p * -1] = 0 28 + 9p + [5 + -2p] = 0 Reorder the terms: 28 + 5 + 9p + -2p = 0 Combine like terms: 28 + 5 = 33 33 + 9p + -2p = 0 Combine like terms: 9p + -2p = 7p 33 + 7p = 0 Solving 33 + 7p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 7p = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 7p = 0 + -33 7p = 0 + -33 Combine like terms: 0 + -33 = -33 7p = -33 Divide each side by '7'. p = -4.714285714 Simplifying p = -4.714285714
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